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Finding the Fourth Proportional to 10,255.42, 15,326.93 and 7,487.92

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Solution

The fourth proportional to 10,255.42, 15,326.93 and 7,487.92 is: 11,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.42 : 15,326.93 = 7,487.92 : x
  2. Step 2: Convert to fraction form
    10,255.42/15,326.93 = 7,487.92/x
  3. Step 3: Cross multiply
    10,255.42x = 15,326.93 × 7,487.92
  4. Step 4: Simplify right side
    10,255.42x = 114,766,825.69
  5. Step 5: Solve for x
    x = 114,766,825.69/10,255.42
  6. Step 6: Final answer
    x = 11,190.85

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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.