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Finding the Fourth Proportional to 7,697.31, 10,618.82 and 4,711.95

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Solution

The fourth proportional to 7,697.31, 10,618.82 and 4,711.95 is: 6,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.31 : 10,618.82 = 4,711.95 : x
  2. Step 2: Convert to fraction form
    7,697.31/10,618.82 = 4,711.95/x
  3. Step 3: Cross multiply
    7,697.31x = 10,618.82 × 4,711.95
  4. Step 4: Simplify right side
    7,697.31x = 50,035,325.34
  5. Step 5: Solve for x
    x = 50,035,325.34/7,697.31
  6. Step 6: Final answer
    x = 6,500.37

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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.