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Finding the Fourth Proportional to 11,392.66, 15,721.46 and 6,356.80

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Solution

The fourth proportional to 11,392.66, 15,721.46 and 6,356.80 is: 8,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.66 : 15,721.46 = 6,356.80 : x
  2. Step 2: Convert to fraction form
    11,392.66/15,721.46 = 6,356.80/x
  3. Step 3: Cross multiply
    11,392.66x = 15,721.46 × 6,356.80
  4. Step 4: Simplify right side
    11,392.66x = 99,938,176.93
  5. Step 5: Solve for x
    x = 99,938,176.93/11,392.66
  6. Step 6: Final answer
    x = 8,772.15

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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.