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Finding the Fourth Proportional to 8,605.86, 12,930.42 and 5,487.30

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Solution

The fourth proportional to 8,605.86, 12,930.42 and 5,487.30 is: 8,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.86 : 12,930.42 = 5,487.30 : x
  2. Step 2: Convert to fraction form
    8,605.86/12,930.42 = 5,487.30/x
  3. Step 3: Cross multiply
    8,605.86x = 12,930.42 × 5,487.30
  4. Step 4: Simplify right side
    8,605.86x = 70,953,093.67
  5. Step 5: Solve for x
    x = 70,953,093.67/8,605.86
  6. Step 6: Final answer
    x = 8,244.74

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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.