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Finding the Fourth Proportional to 10,512.24, 15,708.24 and 7,999.62

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Solution

The fourth proportional to 10,512.24, 15,708.24 and 7,999.62 is: 11,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.24 : 15,708.24 = 7,999.62 : x
  2. Step 2: Convert to fraction form
    10,512.24/15,708.24 = 7,999.62/x
  3. Step 3: Cross multiply
    10,512.24x = 15,708.24 × 7,999.62
  4. Step 4: Simplify right side
    10,512.24x = 125,659,950.87
  5. Step 5: Solve for x
    x = 125,659,950.87/10,512.24
  6. Step 6: Final answer
    x = 11,953.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.