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Finding the Fourth Proportional to 7,498.48, 11,248.20 and 4,414

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Solution

The fourth proportional to 7,498.48, 11,248.20 and 4,414 is: 6,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.48 : 11,248.20 = 4,414 : x
  2. Step 2: Convert to fraction form
    7,498.48/11,248.20 = 4,414/x
  3. Step 3: Cross multiply
    7,498.48x = 11,248.20 × 4,414
  4. Step 4: Simplify right side
    7,498.48x = 49,649,554.80
  5. Step 5: Solve for x
    x = 49,649,554.80/7,498.48
  6. Step 6: Final answer
    x = 6,621.28

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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.