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Finding the Fourth Proportional to 11,083.38, 15,297.57 and 7,548

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Solution

The fourth proportional to 11,083.38, 15,297.57 and 7,548 is: 10,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.38 : 15,297.57 = 7,548 : x
  2. Step 2: Convert to fraction form
    11,083.38/15,297.57 = 7,548/x
  3. Step 3: Cross multiply
    11,083.38x = 15,297.57 × 7,548
  4. Step 4: Simplify right side
    11,083.38x = 115,466,058.36
  5. Step 5: Solve for x
    x = 115,466,058.36/11,083.38
  6. Step 6: Final answer
    x = 10,417.95

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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.