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Finding the Fourth Proportional to 11,660.76, 17,494.38 and 3,875.04

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Solution

The fourth proportional to 11,660.76, 17,494.38 and 3,875.04 is: 5,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.76 : 17,494.38 = 3,875.04 : x
  2. Step 2: Convert to fraction form
    11,660.76/17,494.38 = 3,875.04/x
  3. Step 3: Cross multiply
    11,660.76x = 17,494.38 × 3,875.04
  4. Step 4: Simplify right side
    11,660.76x = 67,791,422.28
  5. Step 5: Solve for x
    x = 67,791,422.28/11,660.76
  6. Step 6: Final answer
    x = 5,813.64

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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.