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Finding the Fourth Proportional to 7,425.50, 10,247.19 and 4,114.14

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Solution

The fourth proportional to 7,425.50, 10,247.19 and 4,114.14 is: 5,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.50 : 10,247.19 = 4,114.14 : x
  2. Step 2: Convert to fraction form
    7,425.50/10,247.19 = 4,114.14/x
  3. Step 3: Cross multiply
    7,425.50x = 10,247.19 × 4,114.14
  4. Step 4: Simplify right side
    7,425.50x = 42,158,374.27
  5. Step 5: Solve for x
    x = 42,158,374.27/7,425.50
  6. Step 6: Final answer
    x = 5,677.51

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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.