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Finding the Fourth Proportional to 8,287.86, 12,430.17 and 3,092.70

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Solution

The fourth proportional to 8,287.86, 12,430.17 and 3,092.70 is: 4,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.86 : 12,430.17 = 3,092.70 : x
  2. Step 2: Convert to fraction form
    8,287.86/12,430.17 = 3,092.70/x
  3. Step 3: Cross multiply
    8,287.86x = 12,430.17 × 3,092.70
  4. Step 4: Simplify right side
    8,287.86x = 38,442,786.76
  5. Step 5: Solve for x
    x = 38,442,786.76/8,287.86
  6. Step 6: Final answer
    x = 4,638.45

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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.