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Finding the Fourth Proportional to 10,728.47, 14,789.78 and 7,532.04

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Solution

The fourth proportional to 10,728.47, 14,789.78 and 7,532.04 is: 10,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.47 : 14,789.78 = 7,532.04 : x
  2. Step 2: Convert to fraction form
    10,728.47/14,789.78 = 7,532.04/x
  3. Step 3: Cross multiply
    10,728.47x = 14,789.78 × 7,532.04
  4. Step 4: Simplify right side
    10,728.47x = 111,397,214.55
  5. Step 5: Solve for x
    x = 111,397,214.55/10,728.47
  6. Step 6: Final answer
    x = 10,383.33

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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.