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Finding the Fourth Proportional to 7,854.32, 10,839.41 and 4,498.16

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Solution

The fourth proportional to 7,854.32, 10,839.41 and 4,498.16 is: 6,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.32 : 10,839.41 = 4,498.16 : x
  2. Step 2: Convert to fraction form
    7,854.32/10,839.41 = 4,498.16/x
  3. Step 3: Cross multiply
    7,854.32x = 10,839.41 × 4,498.16
  4. Step 4: Simplify right side
    7,854.32x = 48,757,323.80
  5. Step 5: Solve for x
    x = 48,757,323.80/7,854.32
  6. Step 6: Final answer
    x = 6,207.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.