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Finding the Fourth Proportional to 6,902.72, 10,307.04 and 6,512.88

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Solution

The fourth proportional to 6,902.72, 10,307.04 and 6,512.88 is: 9,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.72 : 10,307.04 = 6,512.88 : x
  2. Step 2: Convert to fraction form
    6,902.72/10,307.04 = 6,512.88/x
  3. Step 3: Cross multiply
    6,902.72x = 10,307.04 × 6,512.88
  4. Step 4: Simplify right side
    6,902.72x = 67,128,514.68
  5. Step 5: Solve for x
    x = 67,128,514.68/6,902.72
  6. Step 6: Final answer
    x = 9,724.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.