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Finding the Fourth Proportional to 10,533.69, 15,800.54 and 9,892.17

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Solution

The fourth proportional to 10,533.69, 15,800.54 and 9,892.17 is: 14,838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.69 : 15,800.54 = 9,892.17 : x
  2. Step 2: Convert to fraction form
    10,533.69/15,800.54 = 9,892.17/x
  3. Step 3: Cross multiply
    10,533.69x = 15,800.54 × 9,892.17
  4. Step 4: Simplify right side
    10,533.69x = 156,301,578.31
  5. Step 5: Solve for x
    x = 156,301,578.31/10,533.69
  6. Step 6: Final answer
    x = 14,838.26

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