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Finding the Fourth Proportional to 7,498.60, 11,251.14 and 4,031.80

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Solution

The fourth proportional to 7,498.60, 11,251.14 and 4,031.80 is: 6,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.60 : 11,251.14 = 4,031.80 : x
  2. Step 2: Convert to fraction form
    7,498.60/11,251.14 = 4,031.80/x
  3. Step 3: Cross multiply
    7,498.60x = 11,251.14 × 4,031.80
  4. Step 4: Simplify right side
    7,498.60x = 45,362,346.25
  5. Step 5: Solve for x
    x = 45,362,346.25/7,498.60
  6. Step 6: Final answer
    x = 6,049.44

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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.