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Finding the Fourth Proportional to 10,864.52, 16,285.38 and 5,024.96

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Solution

The fourth proportional to 10,864.52, 16,285.38 and 5,024.96 is: 7,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.52 : 16,285.38 = 5,024.96 : x
  2. Step 2: Convert to fraction form
    10,864.52/16,285.38 = 5,024.96/x
  3. Step 3: Cross multiply
    10,864.52x = 16,285.38 × 5,024.96
  4. Step 4: Simplify right side
    10,864.52x = 81,833,383.08
  5. Step 5: Solve for x
    x = 81,833,383.08/10,864.52
  6. Step 6: Final answer
    x = 7,532.17

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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.