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Finding the Fourth Proportional to 7,806.38, 10,780.03 and 5,016.78

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Solution

The fourth proportional to 7,806.38, 10,780.03 and 5,016.78 is: 6,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.38 : 10,780.03 = 5,016.78 : x
  2. Step 2: Convert to fraction form
    7,806.38/10,780.03 = 5,016.78/x
  3. Step 3: Cross multiply
    7,806.38x = 10,780.03 × 5,016.78
  4. Step 4: Simplify right side
    7,806.38x = 54,081,038.90
  5. Step 5: Solve for x
    x = 54,081,038.90/7,806.38
  6. Step 6: Final answer
    x = 6,927.80

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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.