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Finding the Fourth Proportional to 7,296.48, 10,047.97 and 6,338.96

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Solution

The fourth proportional to 7,296.48, 10,047.97 and 6,338.96 is: 8,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.48 : 10,047.97 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    7,296.48/10,047.97 = 6,338.96/x
  3. Step 3: Cross multiply
    7,296.48x = 10,047.97 × 6,338.96
  4. Step 4: Simplify right side
    7,296.48x = 63,693,639.62
  5. Step 5: Solve for x
    x = 63,693,639.62/7,296.48
  6. Step 6: Final answer
    x = 8,729.37

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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.