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Finding the Fourth Proportional to 7,605.20, 10,488.62 and 7,162.34

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Solution

The fourth proportional to 7,605.20, 10,488.62 and 7,162.34 is: 9,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.20 : 10,488.62 = 7,162.34 : x
  2. Step 2: Convert to fraction form
    7,605.20/10,488.62 = 7,162.34/x
  3. Step 3: Cross multiply
    7,605.20x = 10,488.62 × 7,162.34
  4. Step 4: Simplify right side
    7,605.20x = 75,123,026.76
  5. Step 5: Solve for x
    x = 75,123,026.76/7,605.20
  6. Step 6: Final answer
    x = 9,877.85

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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.