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Finding the Fourth Proportional to 7,652.94, 11,478.34 and 2,458.14

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Solution

The fourth proportional to 7,652.94, 11,478.34 and 2,458.14 is: 3,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.94 : 11,478.34 = 2,458.14 : x
  2. Step 2: Convert to fraction form
    7,652.94/11,478.34 = 2,458.14/x
  3. Step 3: Cross multiply
    7,652.94x = 11,478.34 × 2,458.14
  4. Step 4: Simplify right side
    7,652.94x = 28,215,366.69
  5. Step 5: Solve for x
    x = 28,215,366.69/7,652.94
  6. Step 6: Final answer
    x = 3,686.87

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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.