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Finding the Fourth Proportional to 7,414.68, 10,232.10 and 4,271.52

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Solution

The fourth proportional to 7,414.68, 10,232.10 and 4,271.52 is: 5,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.68 : 10,232.10 = 4,271.52 : x
  2. Step 2: Convert to fraction form
    7,414.68/10,232.10 = 4,271.52/x
  3. Step 3: Cross multiply
    7,414.68x = 10,232.10 × 4,271.52
  4. Step 4: Simplify right side
    7,414.68x = 43,706,619.79
  5. Step 5: Solve for x
    x = 43,706,619.79/7,414.68
  6. Step 6: Final answer
    x = 5,894.61

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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.