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Finding the Fourth Proportional to 11,122.75, 15,349.41 and 6,409.78

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Solution

The fourth proportional to 11,122.75, 15,349.41 and 6,409.78 is: 8,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.75 : 15,349.41 = 6,409.78 : x
  2. Step 2: Convert to fraction form
    11,122.75/15,349.41 = 6,409.78/x
  3. Step 3: Cross multiply
    11,122.75x = 15,349.41 × 6,409.78
  4. Step 4: Simplify right side
    11,122.75x = 98,386,341.23
  5. Step 5: Solve for x
    x = 98,386,341.23/11,122.75
  6. Step 6: Final answer
    x = 8,845.51

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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.