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Finding the Fourth Proportional to 8,445.48, 11,656.53 and 5,613.09

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Solution

The fourth proportional to 8,445.48, 11,656.53 and 5,613.09 is: 7,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.48 : 11,656.53 = 5,613.09 : x
  2. Step 2: Convert to fraction form
    8,445.48/11,656.53 = 5,613.09/x
  3. Step 3: Cross multiply
    8,445.48x = 11,656.53 × 5,613.09
  4. Step 4: Simplify right side
    8,445.48x = 65,429,151.98
  5. Step 5: Solve for x
    x = 65,429,151.98/8,445.48
  6. Step 6: Final answer
    x = 7,747.24

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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.