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Finding the Fourth Proportional to 10,329.67, 14,254.95 and 5,613.94

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Solution

The fourth proportional to 10,329.67, 14,254.95 and 5,613.94 is: 7,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.67 : 14,254.95 = 5,613.94 : x
  2. Step 2: Convert to fraction form
    10,329.67/14,254.95 = 5,613.94/x
  3. Step 3: Cross multiply
    10,329.67x = 14,254.95 × 5,613.94
  4. Step 4: Simplify right side
    10,329.67x = 80,026,434.00
  5. Step 5: Solve for x
    x = 80,026,434.00/10,329.67
  6. Step 6: Final answer
    x = 7,747.24

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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.