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Finding the Fourth Proportional to 7,664,509.20, 11,486,995.20 and 4,071,997.20

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Solution

The fourth proportional to 7,664,509.20, 11,486,995.20 and 4,071,997.20 is: 6,102,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,509.20 : 11,486,995.20 = 4,071,997.20 : x
  2. Step 2: Convert to fraction form
    7,664,509.20/11,486,995.20 = 4,071,997.20/x
  3. Step 3: Cross multiply
    7,664,509.20x = 11,486,995.20 × 4,071,997.20
  4. Step 4: Simplify right side
    7,664,509.20x = 46,775,012,290,813.44
  5. Step 5: Solve for x
    x = 46,775,012,290,813.44/7,664,509.20
  6. Step 6: Final answer
    x = 6,102,805.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.