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Finding the Fourth Proportional to 10,452.82, 15,683.31 and 4,605.31

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Solution

The fourth proportional to 10,452.82, 15,683.31 and 4,605.31 is: 6,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.82 : 15,683.31 = 4,605.31 : x
  2. Step 2: Convert to fraction form
    10,452.82/15,683.31 = 4,605.31/x
  3. Step 3: Cross multiply
    10,452.82x = 15,683.31 × 4,605.31
  4. Step 4: Simplify right side
    10,452.82x = 72,226,504.38
  5. Step 5: Solve for x
    x = 72,226,504.38/10,452.82
  6. Step 6: Final answer
    x = 6,909.76

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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.