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Finding the Fourth Proportional to 7,691.76, 11,530.40 and 7,007

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Solution

The fourth proportional to 7,691.76, 11,530.40 and 7,007 is: 10,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.76 : 11,530.40 = 7,007 : x
  2. Step 2: Convert to fraction form
    7,691.76/11,530.40 = 7,007/x
  3. Step 3: Cross multiply
    7,691.76x = 11,530.40 × 7,007
  4. Step 4: Simplify right side
    7,691.76x = 80,793,512.80
  5. Step 5: Solve for x
    x = 80,793,512.80/7,691.76
  6. Step 6: Final answer
    x = 10,503.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.