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Finding the Fourth Proportional to 10,743.96, 16,088.24 and 9,193.88

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Solution

The fourth proportional to 10,743.96, 16,088.24 and 9,193.88 is: 13,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.96 : 16,088.24 = 9,193.88 : x
  2. Step 2: Convert to fraction form
    10,743.96/16,088.24 = 9,193.88/x
  3. Step 3: Cross multiply
    10,743.96x = 16,088.24 × 9,193.88
  4. Step 4: Simplify right side
    10,743.96x = 147,913,347.97
  5. Step 5: Solve for x
    x = 147,913,347.97/10,743.96
  6. Step 6: Final answer
    x = 13,767.12

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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.