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Finding the Fourth Proportional to 12,915.12, 17,831.16 and 7,950

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Solution

The fourth proportional to 12,915.12, 17,831.16 and 7,950 is: 10,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.12 : 17,831.16 = 7,950 : x
  2. Step 2: Convert to fraction form
    12,915.12/17,831.16 = 7,950/x
  3. Step 3: Cross multiply
    12,915.12x = 17,831.16 × 7,950
  4. Step 4: Simplify right side
    12,915.12x = 141,757,722
  5. Step 5: Solve for x
    x = 141,757,722/12,915.12
  6. Step 6: Final answer
    x = 10,976.11

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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.