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Finding the Fourth Proportional to 10,197.36, 14,078.88 and 7,955.28

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Solution

The fourth proportional to 10,197.36, 14,078.88 and 7,955.28 is: 10,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.36 : 14,078.88 = 7,955.28 : x
  2. Step 2: Convert to fraction form
    10,197.36/14,078.88 = 7,955.28/x
  3. Step 3: Cross multiply
    10,197.36x = 14,078.88 × 7,955.28
  4. Step 4: Simplify right side
    10,197.36x = 112,001,432.49
  5. Step 5: Solve for x
    x = 112,001,432.49/10,197.36
  6. Step 6: Final answer
    x = 10,983.38

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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.