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Finding the Fourth Proportional to 8,514.25, 12,759.68 and 4,345.47

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Solution

The fourth proportional to 8,514.25, 12,759.68 and 4,345.47 is: 6,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.25 : 12,759.68 = 4,345.47 : x
  2. Step 2: Convert to fraction form
    8,514.25/12,759.68 = 4,345.47/x
  3. Step 3: Cross multiply
    8,514.25x = 12,759.68 × 4,345.47
  4. Step 4: Simplify right side
    8,514.25x = 55,446,817.51
  5. Step 5: Solve for x
    x = 55,446,817.51/8,514.25
  6. Step 6: Final answer
    x = 6,512.24

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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.