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Finding the Fourth Proportional to 10,428.80, 14,391.98 and 5,952.47

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Solution

The fourth proportional to 10,428.80, 14,391.98 and 5,952.47 is: 8,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.80 : 14,391.98 = 5,952.47 : x
  2. Step 2: Convert to fraction form
    10,428.80/14,391.98 = 5,952.47/x
  3. Step 3: Cross multiply
    10,428.80x = 14,391.98 × 5,952.47
  4. Step 4: Simplify right side
    10,428.80x = 85,667,727.47
  5. Step 5: Solve for x
    x = 85,667,727.47/10,428.80
  6. Step 6: Final answer
    x = 8,214.53

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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.