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Finding the Fourth Proportional to 11,392.80, 15,721.68 and 6,680.20

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Solution

The fourth proportional to 11,392.80, 15,721.68 and 6,680.20 is: 9,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.80 : 15,721.68 = 6,680.20 : x
  2. Step 2: Convert to fraction form
    11,392.80/15,721.68 = 6,680.20/x
  3. Step 3: Cross multiply
    11,392.80x = 15,721.68 × 6,680.20
  4. Step 4: Simplify right side
    11,392.80x = 105,023,966.74
  5. Step 5: Solve for x
    x = 105,023,966.74/11,392.80
  6. Step 6: Final answer
    x = 9,218.45

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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.