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Finding the Fourth Proportional to 10,404.52, 14,358.16 and 5,688.72

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Solution

The fourth proportional to 10,404.52, 14,358.16 and 5,688.72 is: 7,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.52 : 14,358.16 = 5,688.72 : x
  2. Step 2: Convert to fraction form
    10,404.52/14,358.16 = 5,688.72/x
  3. Step 3: Cross multiply
    10,404.52x = 14,358.16 × 5,688.72
  4. Step 4: Simplify right side
    10,404.52x = 81,679,551.96
  5. Step 5: Solve for x
    x = 81,679,551.96/10,404.52
  6. Step 6: Final answer
    x = 7,850.39

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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.