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Finding the Fourth Proportional to 10,358.88, 15,538.17 and 2,567.64

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Solution

The fourth proportional to 10,358.88, 15,538.17 and 2,567.64 is: 3,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.88 : 15,538.17 = 2,567.64 : x
  2. Step 2: Convert to fraction form
    10,358.88/15,538.17 = 2,567.64/x
  3. Step 3: Cross multiply
    10,358.88x = 15,538.17 × 2,567.64
  4. Step 4: Simplify right side
    10,358.88x = 39,896,426.82
  5. Step 5: Solve for x
    x = 39,896,426.82/10,358.88
  6. Step 6: Final answer
    x = 3,851.42

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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.