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Finding the Fourth Proportional to 10,329.81, 14,255.12 and 5,614.11

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Solution

The fourth proportional to 10,329.81, 14,255.12 and 5,614.11 is: 7,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.81 : 14,255.12 = 5,614.11 : x
  2. Step 2: Convert to fraction form
    10,329.81/14,255.12 = 5,614.11/x
  3. Step 3: Cross multiply
    10,329.81x = 14,255.12 × 5,614.11
  4. Step 4: Simplify right side
    10,329.81x = 80,029,783.67
  5. Step 5: Solve for x
    x = 80,029,783.67/10,329.81
  6. Step 6: Final answer
    x = 7,747.46

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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.