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Finding the Fourth Proportional to 11,708.04, 17,568.12 and 5,138.84

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Solution

The fourth proportional to 11,708.04, 17,568.12 and 5,138.84 is: 7,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.04 : 17,568.12 = 5,138.84 : x
  2. Step 2: Convert to fraction form
    11,708.04/17,568.12 = 5,138.84/x
  3. Step 3: Cross multiply
    11,708.04x = 17,568.12 × 5,138.84
  4. Step 4: Simplify right side
    11,708.04x = 90,279,757.78
  5. Step 5: Solve for x
    x = 90,279,757.78/11,708.04
  6. Step 6: Final answer
    x = 7,710.92

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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.