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Finding the Fourth Proportional to 8,287.17, 12,430.32 and 3,092.64

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Solution

The fourth proportional to 8,287.17, 12,430.32 and 3,092.64 is: 4,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.17 : 12,430.32 = 3,092.64 : x
  2. Step 2: Convert to fraction form
    8,287.17/12,430.32 = 3,092.64/x
  3. Step 3: Cross multiply
    8,287.17x = 12,430.32 × 3,092.64
  4. Step 4: Simplify right side
    8,287.17x = 38,442,504.84
  5. Step 5: Solve for x
    x = 38,442,504.84/8,287.17
  6. Step 6: Final answer
    x = 4,638.80

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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.