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Finding the Fourth Proportional to 8,661.92, 12,987.44 and 3,661.70

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Solution

The fourth proportional to 8,661.92, 12,987.44 and 3,661.70 is: 5,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.92 : 12,987.44 = 3,661.70 : x
  2. Step 2: Convert to fraction form
    8,661.92/12,987.44 = 3,661.70/x
  3. Step 3: Cross multiply
    8,661.92x = 12,987.44 × 3,661.70
  4. Step 4: Simplify right side
    8,661.92x = 47,556,090.74
  5. Step 5: Solve for x
    x = 47,556,090.74/8,661.92
  6. Step 6: Final answer
    x = 5,490.25

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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.