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Finding the Fourth Proportional to 7,876.38, 10,868.40 and 4,519.34

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Solution

The fourth proportional to 7,876.38, 10,868.40 and 4,519.34 is: 6,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.38 : 10,868.40 = 4,519.34 : x
  2. Step 2: Convert to fraction form
    7,876.38/10,868.40 = 4,519.34/x
  3. Step 3: Cross multiply
    7,876.38x = 10,868.40 × 4,519.34
  4. Step 4: Simplify right side
    7,876.38x = 49,117,940.51
  5. Step 5: Solve for x
    x = 49,117,940.51/7,876.38
  6. Step 6: Final answer
    x = 6,236.11

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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.