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Finding the Fourth Proportional to 11,342.40, 15,652.22 and 6,306.38

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Solution

The fourth proportional to 11,342.40, 15,652.22 and 6,306.38 is: 8,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.40 : 15,652.22 = 6,306.38 : x
  2. Step 2: Convert to fraction form
    11,342.40/15,652.22 = 6,306.38/x
  3. Step 3: Cross multiply
    11,342.40x = 15,652.22 × 6,306.38
  4. Step 4: Simplify right side
    11,342.40x = 98,708,847.16
  5. Step 5: Solve for x
    x = 98,708,847.16/11,342.40
  6. Step 6: Final answer
    x = 8,702.64

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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.