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Finding the Fourth Proportional to 7,874.32, 11,805.20 and 3,712.12

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Solution

The fourth proportional to 7,874.32, 11,805.20 and 3,712.12 is: 5,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.32 : 11,805.20 = 3,712.12 : x
  2. Step 2: Convert to fraction form
    7,874.32/11,805.20 = 3,712.12/x
  3. Step 3: Cross multiply
    7,874.32x = 11,805.20 × 3,712.12
  4. Step 4: Simplify right side
    7,874.32x = 43,822,319.02
  5. Step 5: Solve for x
    x = 43,822,319.02/7,874.32
  6. Step 6: Final answer
    x = 5,565.22

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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.