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Finding the Fourth Proportional to 10,452.39, 14,421.73 and 5,915.14

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Solution

The fourth proportional to 10,452.39, 14,421.73 and 5,915.14 is: 8,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.39 : 14,421.73 = 5,915.14 : x
  2. Step 2: Convert to fraction form
    10,452.39/14,421.73 = 5,915.14/x
  3. Step 3: Cross multiply
    10,452.39x = 14,421.73 × 5,915.14
  4. Step 4: Simplify right side
    10,452.39x = 85,306,551.99
  5. Step 5: Solve for x
    x = 85,306,551.99/10,452.39
  6. Step 6: Final answer
    x = 8,161.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.