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Finding the Fourth Proportional to 8,385.61, 12,580.36 and 2,462.26

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Solution

The fourth proportional to 8,385.61, 12,580.36 and 2,462.26 is: 3,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.61 : 12,580.36 = 2,462.26 : x
  2. Step 2: Convert to fraction form
    8,385.61/12,580.36 = 2,462.26/x
  3. Step 3: Cross multiply
    8,385.61x = 12,580.36 × 2,462.26
  4. Step 4: Simplify right side
    8,385.61x = 30,976,117.21
  5. Step 5: Solve for x
    x = 30,976,117.21/8,385.61
  6. Step 6: Final answer
    x = 3,693.96

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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.