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Finding the Fourth Proportional to 8,340.93, 12,514.02 and 3,664.87

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Solution

The fourth proportional to 8,340.93, 12,514.02 and 3,664.87 is: 5,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.93 : 12,514.02 = 3,664.87 : x
  2. Step 2: Convert to fraction form
    8,340.93/12,514.02 = 3,664.87/x
  3. Step 3: Cross multiply
    8,340.93x = 12,514.02 × 3,664.87
  4. Step 4: Simplify right side
    8,340.93x = 45,862,244.15
  5. Step 5: Solve for x
    x = 45,862,244.15/8,340.93
  6. Step 6: Final answer
    x = 5,498.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.