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Finding the Fourth Proportional to 11,432.34, 15,773.13 and 7,452

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Solution

The fourth proportional to 11,432.34, 15,773.13 and 7,452 is: 10,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.34 : 15,773.13 = 7,452 : x
  2. Step 2: Convert to fraction form
    11,432.34/15,773.13 = 7,452/x
  3. Step 3: Cross multiply
    11,432.34x = 15,773.13 × 7,452
  4. Step 4: Simplify right side
    11,432.34x = 117,541,364.76
  5. Step 5: Solve for x
    x = 117,541,364.76/11,432.34
  6. Step 6: Final answer
    x = 10,281.48

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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.