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Finding the Fourth Proportional to 10,329.75, 14,254.95 and 5,614.05

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Solution

The fourth proportional to 10,329.75, 14,254.95 and 5,614.05 is: 7,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.75 : 14,254.95 = 5,614.05 : x
  2. Step 2: Convert to fraction form
    10,329.75/14,254.95 = 5,614.05/x
  3. Step 3: Cross multiply
    10,329.75x = 14,254.95 × 5,614.05
  4. Step 4: Simplify right side
    10,329.75x = 80,028,002.05
  5. Step 5: Solve for x
    x = 80,028,002.05/10,329.75
  6. Step 6: Final answer
    x = 7,747.33

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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.