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Finding the Fourth Proportional to 7,650.95, 11,475.34 and 2,456.15

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Solution

The fourth proportional to 7,650.95, 11,475.34 and 2,456.15 is: 3,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.95 : 11,475.34 = 2,456.15 : x
  2. Step 2: Convert to fraction form
    7,650.95/11,475.34 = 2,456.15/x
  3. Step 3: Cross multiply
    7,650.95x = 11,475.34 × 2,456.15
  4. Step 4: Simplify right side
    7,650.95x = 28,185,092.82
  5. Step 5: Solve for x
    x = 28,185,092.82/7,650.95
  6. Step 6: Final answer
    x = 3,683.87

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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.