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Finding the Fourth Proportional to 7,132.42, 10,696.01 and 2,451.10

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Solution

The fourth proportional to 7,132.42, 10,696.01 and 2,451.10 is: 3,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.42 : 10,696.01 = 2,451.10 : x
  2. Step 2: Convert to fraction form
    7,132.42/10,696.01 = 2,451.10/x
  3. Step 3: Cross multiply
    7,132.42x = 10,696.01 × 2,451.10
  4. Step 4: Simplify right side
    7,132.42x = 26,217,000.42
  5. Step 5: Solve for x
    x = 26,217,000.42/7,132.42
  6. Step 6: Final answer
    x = 3,675.75

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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.