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Finding the Fourth Proportional to 11,379.42, 15,702.12 and 6,342.30

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Solution

The fourth proportional to 11,379.42, 15,702.12 and 6,342.30 is: 8,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.42 : 15,702.12 = 6,342.30 : x
  2. Step 2: Convert to fraction form
    11,379.42/15,702.12 = 6,342.30/x
  3. Step 3: Cross multiply
    11,379.42x = 15,702.12 × 6,342.30
  4. Step 4: Simplify right side
    11,379.42x = 99,587,555.68
  5. Step 5: Solve for x
    x = 99,587,555.68/11,379.42
  6. Step 6: Final answer
    x = 8,751.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.