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Finding the Fourth Proportional to 8,345.66, 12,514.49 and 3,148.22

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Solution

The fourth proportional to 8,345.66, 12,514.49 and 3,148.22 is: 4,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.66 : 12,514.49 = 3,148.22 : x
  2. Step 2: Convert to fraction form
    8,345.66/12,514.49 = 3,148.22/x
  3. Step 3: Cross multiply
    8,345.66x = 12,514.49 × 3,148.22
  4. Step 4: Simplify right side
    8,345.66x = 39,398,367.71
  5. Step 5: Solve for x
    x = 39,398,367.71/8,345.66
  6. Step 6: Final answer
    x = 4,720.82

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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.