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Finding the Fourth Proportional to 10,329.82, 14,255.18 and 5,614.12

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Solution

The fourth proportional to 10,329.82, 14,255.18 and 5,614.12 is: 7,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.82 : 14,255.18 = 5,614.12 : x
  2. Step 2: Convert to fraction form
    10,329.82/14,255.18 = 5,614.12/x
  3. Step 3: Cross multiply
    10,329.82x = 14,255.18 × 5,614.12
  4. Step 4: Simplify right side
    10,329.82x = 80,030,291.14
  5. Step 5: Solve for x
    x = 80,030,291.14/10,329.82
  6. Step 6: Final answer
    x = 7,747.50

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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.