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Finding the Fourth Proportional to 7,853.65, 10,839.92 and 4,498.41

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Solution

The fourth proportional to 7,853.65, 10,839.92 and 4,498.41 is: 6,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.65 : 10,839.92 = 4,498.41 : x
  2. Step 2: Convert to fraction form
    7,853.65/10,839.92 = 4,498.41/x
  3. Step 3: Cross multiply
    7,853.65x = 10,839.92 × 4,498.41
  4. Step 4: Simplify right side
    7,853.65x = 48,762,404.53
  5. Step 5: Solve for x
    x = 48,762,404.53/7,853.65
  6. Step 6: Final answer
    x = 6,208.88

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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.