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Finding the Fourth Proportional to 7,402.42, 11,103.74 and 2,472.08

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Solution

The fourth proportional to 7,402.42, 11,103.74 and 2,472.08 is: 3,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.42 : 11,103.74 = 2,472.08 : x
  2. Step 2: Convert to fraction form
    7,402.42/11,103.74 = 2,472.08/x
  3. Step 3: Cross multiply
    7,402.42x = 11,103.74 × 2,472.08
  4. Step 4: Simplify right side
    7,402.42x = 27,449,333.58
  5. Step 5: Solve for x
    x = 27,449,333.58/7,402.42
  6. Step 6: Final answer
    x = 3,708.16

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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.