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Finding the Fourth Proportional to 6,876.88, 10,315.32 and 2,770

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Solution

The fourth proportional to 6,876.88, 10,315.32 and 2,770 is: 4,155

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.88 : 10,315.32 = 2,770 : x
  2. Step 2: Convert to fraction form
    6,876.88/10,315.32 = 2,770/x
  3. Step 3: Cross multiply
    6,876.88x = 10,315.32 × 2,770
  4. Step 4: Simplify right side
    6,876.88x = 28,573,436.40
  5. Step 5: Solve for x
    x = 28,573,436.40/6,876.88
  6. Step 6: Final answer
    x = 4,155

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.