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Finding the Fourth Proportional to 8,070.32, 12,098.18 and 2,874.98

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Solution

The fourth proportional to 8,070.32, 12,098.18 and 2,874.98 is: 4,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.32 : 12,098.18 = 2,874.98 : x
  2. Step 2: Convert to fraction form
    8,070.32/12,098.18 = 2,874.98/x
  3. Step 3: Cross multiply
    8,070.32x = 12,098.18 × 2,874.98
  4. Step 4: Simplify right side
    8,070.32x = 34,781,978.75
  5. Step 5: Solve for x
    x = 34,781,978.75/8,070.32
  6. Step 6: Final answer
    x = 4,309.87

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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.