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Finding the Fourth Proportional to 7,138.57, 9,851.88 and 4,114.15

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Solution

The fourth proportional to 7,138.57, 9,851.88 and 4,114.15 is: 5,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.57 : 9,851.88 = 4,114.15 : x
  2. Step 2: Convert to fraction form
    7,138.57/9,851.88 = 4,114.15/x
  3. Step 3: Cross multiply
    7,138.57x = 9,851.88 × 4,114.15
  4. Step 4: Simplify right side
    7,138.57x = 40,532,112.10
  5. Step 5: Solve for x
    x = 40,532,112.10/7,138.57
  6. Step 6: Final answer
    x = 5,677.90

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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.