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Finding the Fourth Proportional to 10,288.35, 15,423.29 and 3,712.99

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Solution

The fourth proportional to 10,288.35, 15,423.29 and 3,712.99 is: 5,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.35 : 15,423.29 = 3,712.99 : x
  2. Step 2: Convert to fraction form
    10,288.35/15,423.29 = 3,712.99/x
  3. Step 3: Cross multiply
    10,288.35x = 15,423.29 × 3,712.99
  4. Step 4: Simplify right side
    10,288.35x = 57,266,502.97
  5. Step 5: Solve for x
    x = 57,266,502.97/10,288.35
  6. Step 6: Final answer
    x = 5,566.15

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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.