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Finding the Fourth Proportional to 7,876.36, 10,859.70 and 6,378.76

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Solution

The fourth proportional to 7,876.36, 10,859.70 and 6,378.76 is: 8,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.36 : 10,859.70 = 6,378.76 : x
  2. Step 2: Convert to fraction form
    7,876.36/10,859.70 = 6,378.76/x
  3. Step 3: Cross multiply
    7,876.36x = 10,859.70 × 6,378.76
  4. Step 4: Simplify right side
    7,876.36x = 69,271,419.97
  5. Step 5: Solve for x
    x = 69,271,419.97/7,876.36
  6. Step 6: Final answer
    x = 8,794.85

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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.