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Finding the Fourth Proportional to 8,562.32, 12,842.56 and 5,806.68

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Solution

The fourth proportional to 8,562.32, 12,842.56 and 5,806.68 is: 8,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.32 : 12,842.56 = 5,806.68 : x
  2. Step 2: Convert to fraction form
    8,562.32/12,842.56 = 5,806.68/x
  3. Step 3: Cross multiply
    8,562.32x = 12,842.56 × 5,806.68
  4. Step 4: Simplify right side
    8,562.32x = 74,572,636.30
  5. Step 5: Solve for x
    x = 74,572,636.30/8,562.32
  6. Step 6: Final answer
    x = 8,709.40

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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.