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Finding the Fourth Proportional to 8,291.53, 11,426.56 and 5,929.57

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Solution

The fourth proportional to 8,291.53, 11,426.56 and 5,929.57 is: 8,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.53 : 11,426.56 = 5,929.57 : x
  2. Step 2: Convert to fraction form
    8,291.53/11,426.56 = 5,929.57/x
  3. Step 3: Cross multiply
    8,291.53x = 11,426.56 × 5,929.57
  4. Step 4: Simplify right side
    8,291.53x = 67,754,587.38
  5. Step 5: Solve for x
    x = 67,754,587.38/8,291.53
  6. Step 6: Final answer
    x = 8,171.54

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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.