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Finding the Fourth Proportional to 7,414.50, 10,232.94 and 4,864.40

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Solution

The fourth proportional to 7,414.50, 10,232.94 and 4,864.40 is: 6,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.50 : 10,232.94 = 4,864.40 : x
  2. Step 2: Convert to fraction form
    7,414.50/10,232.94 = 4,864.40/x
  3. Step 3: Cross multiply
    7,414.50x = 10,232.94 × 4,864.40
  4. Step 4: Simplify right side
    7,414.50x = 49,777,113.34
  5. Step 5: Solve for x
    x = 49,777,113.34/7,414.50
  6. Step 6: Final answer
    x = 6,713.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.