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Finding the Fourth Proportional to 10,587.64, 15,882.11 and 3,567.07

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Solution

The fourth proportional to 10,587.64, 15,882.11 and 3,567.07 is: 5,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.64 : 15,882.11 = 3,567.07 : x
  2. Step 2: Convert to fraction form
    10,587.64/15,882.11 = 3,567.07/x
  3. Step 3: Cross multiply
    10,587.64x = 15,882.11 × 3,567.07
  4. Step 4: Simplify right side
    10,587.64x = 56,652,527.62
  5. Step 5: Solve for x
    x = 56,652,527.62/10,587.64
  6. Step 6: Final answer
    x = 5,350.82

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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.