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Finding the Fourth Proportional to 7,876.98, 10,868.85 and 5,786.10

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Solution

The fourth proportional to 7,876.98, 10,868.85 and 5,786.10 is: 7,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 10,868.85 = 5,786.10 : x
  2. Step 2: Convert to fraction form
    7,876.98/10,868.85 = 5,786.10/x
  3. Step 3: Cross multiply
    7,876.98x = 10,868.85 × 5,786.10
  4. Step 4: Simplify right side
    7,876.98x = 62,888,252.99
  5. Step 5: Solve for x
    x = 62,888,252.99/7,876.98
  6. Step 6: Final answer
    x = 7,983.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.