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Finding the Fourth Proportional to 7,938.72, 10,959.12 and 5,145.12

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Solution

The fourth proportional to 7,938.72, 10,959.12 and 5,145.12 is: 7,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.72 : 10,959.12 = 5,145.12 : x
  2. Step 2: Convert to fraction form
    7,938.72/10,959.12 = 5,145.12/x
  3. Step 3: Cross multiply
    7,938.72x = 10,959.12 × 5,145.12
  4. Step 4: Simplify right side
    7,938.72x = 56,385,987.49
  5. Step 5: Solve for x
    x = 56,385,987.49/7,938.72
  6. Step 6: Final answer
    x = 7,102.65

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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.