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Finding the Fourth Proportional to 7,638.57, 10,540.26 and 4,281.17

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Solution

The fourth proportional to 7,638.57, 10,540.26 and 4,281.17 is: 5,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.57 : 10,540.26 = 4,281.17 : x
  2. Step 2: Convert to fraction form
    7,638.57/10,540.26 = 4,281.17/x
  3. Step 3: Cross multiply
    7,638.57x = 10,540.26 × 4,281.17
  4. Step 4: Simplify right side
    7,638.57x = 45,124,592.20
  5. Step 5: Solve for x
    x = 45,124,592.20/7,638.57
  6. Step 6: Final answer
    x = 5,907.47

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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.