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Finding the Fourth Proportional to 10,006.47, 13,810.10 and 8,324.91

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Solution

The fourth proportional to 10,006.47, 13,810.10 and 8,324.91 is: 11,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.47 : 13,810.10 = 8,324.91 : x
  2. Step 2: Convert to fraction form
    10,006.47/13,810.10 = 8,324.91/x
  3. Step 3: Cross multiply
    10,006.47x = 13,810.10 × 8,324.91
  4. Step 4: Simplify right side
    10,006.47x = 114,967,797.97
  5. Step 5: Solve for x
    x = 114,967,797.97/10,006.47
  6. Step 6: Final answer
    x = 11,489.35

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