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Finding the Fourth Proportional to 11,007.38, 15,193.66 and 7,427.54

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Solution

The fourth proportional to 11,007.38, 15,193.66 and 7,427.54 is: 10,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.38 : 15,193.66 = 7,427.54 : x
  2. Step 2: Convert to fraction form
    11,007.38/15,193.66 = 7,427.54/x
  3. Step 3: Cross multiply
    11,007.38x = 15,193.66 × 7,427.54
  4. Step 4: Simplify right side
    11,007.38x = 112,851,517.40
  5. Step 5: Solve for x
    x = 112,851,517.40/11,007.38
  6. Step 6: Final answer
    x = 10,252.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.