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Finding the Fourth Proportional to 7,164.18, 9,876.12 and 5,033.33

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Solution

The fourth proportional to 7,164.18, 9,876.12 and 5,033.33 is: 6,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.18 : 9,876.12 = 5,033.33 : x
  2. Step 2: Convert to fraction form
    7,164.18/9,876.12 = 5,033.33/x
  3. Step 3: Cross multiply
    7,164.18x = 9,876.12 × 5,033.33
  4. Step 4: Simplify right side
    7,164.18x = 49,709,721.70
  5. Step 5: Solve for x
    x = 49,709,721.70/7,164.18
  6. Step 6: Final answer
    x = 6,938.65

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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.