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Finding the Fourth Proportional to 7,175.12, 9,902.88 and 6,340.40

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Solution

The fourth proportional to 7,175.12, 9,902.88 and 6,340.40 is: 8,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.12 : 9,902.88 = 6,340.40 : x
  2. Step 2: Convert to fraction form
    7,175.12/9,902.88 = 6,340.40/x
  3. Step 3: Cross multiply
    7,175.12x = 9,902.88 × 6,340.40
  4. Step 4: Simplify right side
    7,175.12x = 62,788,220.35
  5. Step 5: Solve for x
    x = 62,788,220.35/7,175.12
  6. Step 6: Final answer
    x = 8,750.83

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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.