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Finding the Fourth Proportional to 11,069.75, 15,277.22 and 6,102.71

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Solution

The fourth proportional to 11,069.75, 15,277.22 and 6,102.71 is: 8,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.75 : 15,277.22 = 6,102.71 : x
  2. Step 2: Convert to fraction form
    11,069.75/15,277.22 = 6,102.71/x
  3. Step 3: Cross multiply
    11,069.75x = 15,277.22 × 6,102.71
  4. Step 4: Simplify right side
    11,069.75x = 93,232,443.27
  5. Step 5: Solve for x
    x = 93,232,443.27/11,069.75
  6. Step 6: Final answer
    x = 8,422.27

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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.