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Finding the Fourth Proportional to 8,689.60, 13,031.20 and 2,846.40

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Solution

The fourth proportional to 8,689.60, 13,031.20 and 2,846.40 is: 4,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.60 : 13,031.20 = 2,846.40 : x
  2. Step 2: Convert to fraction form
    8,689.60/13,031.20 = 2,846.40/x
  3. Step 3: Cross multiply
    8,689.60x = 13,031.20 × 2,846.40
  4. Step 4: Simplify right side
    8,689.60x = 37,092,007.68
  5. Step 5: Solve for x
    x = 37,092,007.68/8,689.60
  6. Step 6: Final answer
    x = 4,268.55

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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.