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Finding the Fourth Proportional to 8,445.98, 11,657.22 and 5,613.59

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Solution

The fourth proportional to 8,445.98, 11,657.22 and 5,613.59 is: 7,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.98 : 11,657.22 = 5,613.59 : x
  2. Step 2: Convert to fraction form
    8,445.98/11,657.22 = 5,613.59/x
  3. Step 3: Cross multiply
    8,445.98x = 11,657.22 × 5,613.59
  4. Step 4: Simplify right side
    8,445.98x = 65,438,853.62
  5. Step 5: Solve for x
    x = 65,438,853.62/8,445.98
  6. Step 6: Final answer
    x = 7,747.93

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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.