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Finding the Fourth Proportional to 7,637.14, 11,452.11 and 2,959.34

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Solution

The fourth proportional to 7,637.14, 11,452.11 and 2,959.34 is: 4,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.14 : 11,452.11 = 2,959.34 : x
  2. Step 2: Convert to fraction form
    7,637.14/11,452.11 = 2,959.34/x
  3. Step 3: Cross multiply
    7,637.14x = 11,452.11 × 2,959.34
  4. Step 4: Simplify right side
    7,637.14x = 33,890,627.17
  5. Step 5: Solve for x
    x = 33,890,627.17/7,637.14
  6. Step 6: Final answer
    x = 4,437.61

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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.