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Finding the Fourth Proportional to 8,743.75, 12,065.96 and 4,966.82

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Solution

The fourth proportional to 8,743.75, 12,065.96 and 4,966.82 is: 6,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.75 : 12,065.96 = 4,966.82 : x
  2. Step 2: Convert to fraction form
    8,743.75/12,065.96 = 4,966.82/x
  3. Step 3: Cross multiply
    8,743.75x = 12,065.96 × 4,966.82
  4. Step 4: Simplify right side
    8,743.75x = 59,929,448.78
  5. Step 5: Solve for x
    x = 59,929,448.78/8,743.75
  6. Step 6: Final answer
    x = 6,853.98

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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.