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Finding the Fourth Proportional to 10,728.70, 14,805.62 and 5,948.72

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Solution

The fourth proportional to 10,728.70, 14,805.62 and 5,948.72 is: 8,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.70 : 14,805.62 = 5,948.72 : x
  2. Step 2: Convert to fraction form
    10,728.70/14,805.62 = 5,948.72/x
  3. Step 3: Cross multiply
    10,728.70x = 14,805.62 × 5,948.72
  4. Step 4: Simplify right side
    10,728.70x = 88,074,487.81
  5. Step 5: Solve for x
    x = 88,074,487.81/10,728.70
  6. Step 6: Final answer
    x = 8,209.24

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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.