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Finding the Fourth Proportional to 10,329.51, 14,254.82 and 5,613.80

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Solution

The fourth proportional to 10,329.51, 14,254.82 and 5,613.80 is: 7,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.51 : 14,254.82 = 5,613.80 : x
  2. Step 2: Convert to fraction form
    10,329.51/14,254.82 = 5,613.80/x
  3. Step 3: Cross multiply
    10,329.51x = 14,254.82 × 5,613.80
  4. Step 4: Simplify right side
    10,329.51x = 80,023,630.22
  5. Step 5: Solve for x
    x = 80,023,630.22/10,329.51
  6. Step 6: Final answer
    x = 7,747.09

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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.