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Finding the Fourth Proportional to 8,329.28, 11,488.96 and 5,340.38

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Solution

The fourth proportional to 8,329.28, 11,488.96 and 5,340.38 is: 7,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.28 : 11,488.96 = 5,340.38 : x
  2. Step 2: Convert to fraction form
    8,329.28/11,488.96 = 5,340.38/x
  3. Step 3: Cross multiply
    8,329.28x = 11,488.96 × 5,340.38
  4. Step 4: Simplify right side
    8,329.28x = 61,355,412.20
  5. Step 5: Solve for x
    x = 61,355,412.20/8,329.28
  6. Step 6: Final answer
    x = 7,366.23

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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.