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Finding the Fourth Proportional to 10,654.95, 15,900.32 and 9,359.15

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Solution

The fourth proportional to 10,654.95, 15,900.32 and 9,359.15 is: 13,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.95 : 15,900.32 = 9,359.15 : x
  2. Step 2: Convert to fraction form
    10,654.95/15,900.32 = 9,359.15/x
  3. Step 3: Cross multiply
    10,654.95x = 15,900.32 × 9,359.15
  4. Step 4: Simplify right side
    10,654.95x = 148,813,353.63
  5. Step 5: Solve for x
    x = 148,813,353.63/10,654.95
  6. Step 6: Final answer
    x = 13,966.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.