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Finding the Fourth Proportional to 7,374.42, 11,046.78 and 3,665.40

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Solution

The fourth proportional to 7,374.42, 11,046.78 and 3,665.40 is: 5,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.42 : 11,046.78 = 3,665.40 : x
  2. Step 2: Convert to fraction form
    7,374.42/11,046.78 = 3,665.40/x
  3. Step 3: Cross multiply
    7,374.42x = 11,046.78 × 3,665.40
  4. Step 4: Simplify right side
    7,374.42x = 40,490,867.41
  5. Step 5: Solve for x
    x = 40,490,867.41/7,374.42
  6. Step 6: Final answer
    x = 5,490.72

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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.