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Finding the Fourth Proportional to 7,296.74, 10,935.03 and 6,320.42

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Solution

The fourth proportional to 7,296.74, 10,935.03 and 6,320.42 is: 9,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.74 : 10,935.03 = 6,320.42 : x
  2. Step 2: Convert to fraction form
    7,296.74/10,935.03 = 6,320.42/x
  3. Step 3: Cross multiply
    7,296.74x = 10,935.03 × 6,320.42
  4. Step 4: Simplify right side
    7,296.74x = 69,113,982.31
  5. Step 5: Solve for x
    x = 69,113,982.31/7,296.74
  6. Step 6: Final answer
    x = 9,471.90

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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.