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Finding the Fourth Proportional to 12,310.12, 16,987.86 and 6,721

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Solution

The fourth proportional to 12,310.12, 16,987.86 and 6,721 is: 9,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.12 : 16,987.86 = 6,721 : x
  2. Step 2: Convert to fraction form
    12,310.12/16,987.86 = 6,721/x
  3. Step 3: Cross multiply
    12,310.12x = 16,987.86 × 6,721
  4. Step 4: Simplify right side
    12,310.12x = 114,175,407.06
  5. Step 5: Solve for x
    x = 114,175,407.06/12,310.12
  6. Step 6: Final answer
    x = 9,274.92

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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.