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Finding the Fourth Proportional to 11,102, 15,314.28 and 6,911.60

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Solution

The fourth proportional to 11,102, 15,314.28 and 6,911.60 is: 9,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102 : 15,314.28 = 6,911.60 : x
  2. Step 2: Convert to fraction form
    11,102/15,314.28 = 6,911.60/x
  3. Step 3: Cross multiply
    11,102x = 15,314.28 × 6,911.60
  4. Step 4: Simplify right side
    11,102x = 105,846,177.65
  5. Step 5: Solve for x
    x = 105,846,177.65/11,102
  6. Step 6: Final answer
    x = 9,533.97

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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.