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Finding the Fourth Proportional to 7,997.74, 11,036.63 and 4,412.70

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Solution

The fourth proportional to 7,997.74, 11,036.63 and 4,412.70 is: 6,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.74 : 11,036.63 = 4,412.70 : x
  2. Step 2: Convert to fraction form
    7,997.74/11,036.63 = 4,412.70/x
  3. Step 3: Cross multiply
    7,997.74x = 11,036.63 × 4,412.70
  4. Step 4: Simplify right side
    7,997.74x = 48,701,259.95
  5. Step 5: Solve for x
    x = 48,701,259.95/7,997.74
  6. Step 6: Final answer
    x = 6,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.