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Finding the Fourth Proportional to 7,769.58, 10,718.34 and 5,252.56

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Solution

The fourth proportional to 7,769.58, 10,718.34 and 5,252.56 is: 7,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.58 : 10,718.34 = 5,252.56 : x
  2. Step 2: Convert to fraction form
    7,769.58/10,718.34 = 5,252.56/x
  3. Step 3: Cross multiply
    7,769.58x = 10,718.34 × 5,252.56
  4. Step 4: Simplify right side
    7,769.58x = 56,298,723.95
  5. Step 5: Solve for x
    x = 56,298,723.95/7,769.58
  6. Step 6: Final answer
    x = 7,246.04

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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.