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Finding the Fourth Proportional to 10,531.96, 15,797.72 and 4,291.72

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Solution

The fourth proportional to 10,531.96, 15,797.72 and 4,291.72 is: 6,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.96 : 15,797.72 = 4,291.72 : x
  2. Step 2: Convert to fraction form
    10,531.96/15,797.72 = 4,291.72/x
  3. Step 3: Cross multiply
    10,531.96x = 15,797.72 × 4,291.72
  4. Step 4: Simplify right side
    10,531.96x = 67,799,390.88
  5. Step 5: Solve for x
    x = 67,799,390.88/10,531.96
  6. Step 6: Final answer
    x = 6,437.49

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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.