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Finding the Fourth Proportional to 7,769.94, 10,712.70 and 6,352.08

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Solution

The fourth proportional to 7,769.94, 10,712.70 and 6,352.08 is: 8,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.94 : 10,712.70 = 6,352.08 : x
  2. Step 2: Convert to fraction form
    7,769.94/10,712.70 = 6,352.08/x
  3. Step 3: Cross multiply
    7,769.94x = 10,712.70 × 6,352.08
  4. Step 4: Simplify right side
    7,769.94x = 68,047,927.42
  5. Step 5: Solve for x
    x = 68,047,927.42/7,769.94
  6. Step 6: Final answer
    x = 8,757.84

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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.