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Finding the Fourth Proportional to 7,132.69, 10,698.94 and 2,452.78

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Solution

The fourth proportional to 7,132.69, 10,698.94 and 2,452.78 is: 3,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.69 : 10,698.94 = 2,452.78 : x
  2. Step 2: Convert to fraction form
    7,132.69/10,698.94 = 2,452.78/x
  3. Step 3: Cross multiply
    7,132.69x = 10,698.94 × 2,452.78
  4. Step 4: Simplify right side
    7,132.69x = 26,242,146.05
  5. Step 5: Solve for x
    x = 26,242,146.05/7,132.69
  6. Step 6: Final answer
    x = 3,679.14

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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.