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Finding the Fourth Proportional to 10,251.66, 15,378.34 and 7,512.42

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Solution

The fourth proportional to 10,251.66, 15,378.34 and 7,512.42 is: 11,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.66 : 15,378.34 = 7,512.42 : x
  2. Step 2: Convert to fraction form
    10,251.66/15,378.34 = 7,512.42/x
  3. Step 3: Cross multiply
    10,251.66x = 15,378.34 × 7,512.42
  4. Step 4: Simplify right side
    10,251.66x = 115,528,548.98
  5. Step 5: Solve for x
    x = 115,528,548.98/10,251.66
  6. Step 6: Final answer
    x = 11,269.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.