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Finding the Fourth Proportional to 10,389.71, 15,654.69 and 8,581.33

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Solution

The fourth proportional to 10,389.71, 15,654.69 and 8,581.33 is: 12,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.71 : 15,654.69 = 8,581.33 : x
  2. Step 2: Convert to fraction form
    10,389.71/15,654.69 = 8,581.33/x
  3. Step 3: Cross multiply
    10,389.71x = 15,654.69 × 8,581.33
  4. Step 4: Simplify right side
    10,389.71x = 134,338,021.80
  5. Step 5: Solve for x
    x = 134,338,021.80/10,389.71
  6. Step 6: Final answer
    x = 12,929.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.