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Finding the Fourth Proportional to 8,565.14, 12,838.27 and 5,602.36

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Solution

The fourth proportional to 8,565.14, 12,838.27 and 5,602.36 is: 8,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.14 : 12,838.27 = 5,602.36 : x
  2. Step 2: Convert to fraction form
    8,565.14/12,838.27 = 5,602.36/x
  3. Step 3: Cross multiply
    8,565.14x = 12,838.27 × 5,602.36
  4. Step 4: Simplify right side
    8,565.14x = 71,924,610.32
  5. Step 5: Solve for x
    x = 71,924,610.32/8,565.14
  6. Step 6: Final answer
    x = 8,397.37

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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.