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Finding the Fourth Proportional to 7,876.94, 10,865.21 and 4,687.85

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Solution

The fourth proportional to 7,876.94, 10,865.21 and 4,687.85 is: 6,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.94 : 10,865.21 = 4,687.85 : x
  2. Step 2: Convert to fraction form
    7,876.94/10,865.21 = 4,687.85/x
  3. Step 3: Cross multiply
    7,876.94x = 10,865.21 × 4,687.85
  4. Step 4: Simplify right side
    7,876.94x = 50,934,502.79
  5. Step 5: Solve for x
    x = 50,934,502.79/7,876.94
  6. Step 6: Final answer
    x = 6,466.28

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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.