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Finding the Fourth Proportional to 10,452.84, 15,681.30 and 3,057.42

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Solution

The fourth proportional to 10,452.84, 15,681.30 and 3,057.42 is: 4,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.84 : 15,681.30 = 3,057.42 : x
  2. Step 2: Convert to fraction form
    10,452.84/15,681.30 = 3,057.42/x
  3. Step 3: Cross multiply
    10,452.84x = 15,681.30 × 3,057.42
  4. Step 4: Simplify right side
    10,452.84x = 47,944,320.25
  5. Step 5: Solve for x
    x = 47,944,320.25/10,452.84
  6. Step 6: Final answer
    x = 4,586.73

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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.