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Finding the Fourth Proportional to 10,167.90, 15,258.33 and 4,324.50

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Solution

The fourth proportional to 10,167.90, 15,258.33 and 4,324.50 is: 6,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.90 : 15,258.33 = 4,324.50 : x
  2. Step 2: Convert to fraction form
    10,167.90/15,258.33 = 4,324.50/x
  3. Step 3: Cross multiply
    10,167.90x = 15,258.33 × 4,324.50
  4. Step 4: Simplify right side
    10,167.90x = 65,984,648.09
  5. Step 5: Solve for x
    x = 65,984,648.09/10,167.90
  6. Step 6: Final answer
    x = 6,489.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.