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Finding the Fourth Proportional to 7,876.08, 10,865.64 and 5,776.56

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Solution

The fourth proportional to 7,876.08, 10,865.64 and 5,776.56 is: 7,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.08 : 10,865.64 = 5,776.56 : x
  2. Step 2: Convert to fraction form
    7,876.08/10,865.64 = 5,776.56/x
  3. Step 3: Cross multiply
    7,876.08x = 10,865.64 × 5,776.56
  4. Step 4: Simplify right side
    7,876.08x = 62,766,021.40
  5. Step 5: Solve for x
    x = 62,766,021.40/7,876.08
  6. Step 6: Final answer
    x = 7,969.20

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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.