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Finding the Fourth Proportional to 7,769.76, 10,717.56 and 4,976.88

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Solution

The fourth proportional to 7,769.76, 10,717.56 and 4,976.88 is: 6,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.76 : 10,717.56 = 4,976.88 : x
  2. Step 2: Convert to fraction form
    7,769.76/10,717.56 = 4,976.88/x
  3. Step 3: Cross multiply
    7,769.76x = 10,717.56 × 4,976.88
  4. Step 4: Simplify right side
    7,769.76x = 53,340,010.01
  5. Step 5: Solve for x
    x = 53,340,010.01/7,769.76
  6. Step 6: Final answer
    x = 6,865.08

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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.