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Finding the Fourth Proportional to 8,087.76, 11,164.57 and 5,569.07

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Solution

The fourth proportional to 8,087.76, 11,164.57 and 5,569.07 is: 7,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.76 : 11,164.57 = 5,569.07 : x
  2. Step 2: Convert to fraction form
    8,087.76/11,164.57 = 5,569.07/x
  3. Step 3: Cross multiply
    8,087.76x = 11,164.57 × 5,569.07
  4. Step 4: Simplify right side
    8,087.76x = 62,176,202.10
  5. Step 5: Solve for x
    x = 62,176,202.10/8,087.76
  6. Step 6: Final answer
    x = 7,687.69

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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.