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Finding the Fourth Proportional to 7,517.81, 10,374.58 and 4,374

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Solution

The fourth proportional to 7,517.81, 10,374.58 and 4,374 is: 6,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.81 : 10,374.58 = 4,374 : x
  2. Step 2: Convert to fraction form
    7,517.81/10,374.58 = 4,374/x
  3. Step 3: Cross multiply
    7,517.81x = 10,374.58 × 4,374
  4. Step 4: Simplify right side
    7,517.81x = 45,378,418.39
  5. Step 5: Solve for x
    x = 45,378,418.39/7,517.81
  6. Step 6: Final answer
    x = 6,036.12

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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.