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Finding the Fourth Proportional to 11,286.60, 15,571.74 and 6,569.88

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Solution

The fourth proportional to 11,286.60, 15,571.74 and 6,569.88 is: 9,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.60 : 15,571.74 = 6,569.88 : x
  2. Step 2: Convert to fraction form
    11,286.60/15,571.74 = 6,569.88/x
  3. Step 3: Cross multiply
    11,286.60x = 15,571.74 × 6,569.88
  4. Step 4: Simplify right side
    11,286.60x = 102,304,463.19
  5. Step 5: Solve for x
    x = 102,304,463.19/11,286.60
  6. Step 6: Final answer
    x = 9,064.24

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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.