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Finding the Fourth Proportional to 10,101.64, 15,159.38 and 3,527.83

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Solution

The fourth proportional to 10,101.64, 15,159.38 and 3,527.83 is: 5,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.64 : 15,159.38 = 3,527.83 : x
  2. Step 2: Convert to fraction form
    10,101.64/15,159.38 = 3,527.83/x
  3. Step 3: Cross multiply
    10,101.64x = 15,159.38 × 3,527.83
  4. Step 4: Simplify right side
    10,101.64x = 53,479,715.55
  5. Step 5: Solve for x
    x = 53,479,715.55/10,101.64
  6. Step 6: Final answer
    x = 5,294.16

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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.