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Finding the Fourth Proportional to 8,315.39, 11,472.30 and 5,332.84

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Solution

The fourth proportional to 8,315.39, 11,472.30 and 5,332.84 is: 7,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.39 : 11,472.30 = 5,332.84 : x
  2. Step 2: Convert to fraction form
    8,315.39/11,472.30 = 5,332.84/x
  3. Step 3: Cross multiply
    8,315.39x = 11,472.30 × 5,332.84
  4. Step 4: Simplify right side
    8,315.39x = 61,179,911.65
  5. Step 5: Solve for x
    x = 61,179,911.65/8,315.39
  6. Step 6: Final answer
    x = 7,357.43

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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.