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Finding the Fourth Proportional to 7,422.84, 11,134.40 and 3,471.92

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Solution

The fourth proportional to 7,422.84, 11,134.40 and 3,471.92 is: 5,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.84 : 11,134.40 = 3,471.92 : x
  2. Step 2: Convert to fraction form
    7,422.84/11,134.40 = 3,471.92/x
  3. Step 3: Cross multiply
    7,422.84x = 11,134.40 × 3,471.92
  4. Step 4: Simplify right side
    7,422.84x = 38,657,673.02
  5. Step 5: Solve for x
    x = 38,657,673.02/7,422.84
  6. Step 6: Final answer
    x = 5,207.94

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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.