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Finding the Fourth Proportional to 8,514.06, 11,746.17 and 6,281.25

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Solution

The fourth proportional to 8,514.06, 11,746.17 and 6,281.25 is: 8,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.06 : 11,746.17 = 6,281.25 : x
  2. Step 2: Convert to fraction form
    8,514.06/11,746.17 = 6,281.25/x
  3. Step 3: Cross multiply
    8,514.06x = 11,746.17 × 6,281.25
  4. Step 4: Simplify right side
    8,514.06x = 73,780,630.31
  5. Step 5: Solve for x
    x = 73,780,630.31/8,514.06
  6. Step 6: Final answer
    x = 8,665.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.