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Finding the Fourth Proportional to 7,812,784.16, 11,709,728.38 and 4,024,200.32

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Solution

The fourth proportional to 7,812,784.16, 11,709,728.38 and 4,024,200.32 is: 6,031,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,784.16 : 11,709,728.38 = 4,024,200.32 : x
  2. Step 2: Convert to fraction form
    7,812,784.16/11,709,728.38 = 4,024,200.32/x
  3. Step 3: Cross multiply
    7,812,784.16x = 11,709,728.38 × 4,024,200.32
  4. Step 4: Simplify right side
    7,812,784.16x = 47,122,292,693,909.09
  5. Step 5: Solve for x
    x = 47,122,292,693,909.09/7,812,784.16
  6. Step 6: Final answer
    x = 6,031,434.09

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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.