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Finding the Fourth Proportional to 7,147.60, 10,724.34 and 2,988.49

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Solution

The fourth proportional to 7,147.60, 10,724.34 and 2,988.49 is: 4,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.60 : 10,724.34 = 2,988.49 : x
  2. Step 2: Convert to fraction form
    7,147.60/10,724.34 = 2,988.49/x
  3. Step 3: Cross multiply
    7,147.60x = 10,724.34 × 2,988.49
  4. Step 4: Simplify right side
    7,147.60x = 32,049,514.28
  5. Step 5: Solve for x
    x = 32,049,514.28/7,147.60
  6. Step 6: Final answer
    x = 4,483.95

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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.