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Finding the Fourth Proportional to 7,757.82, 10,706.58 and 4,572.11

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Solution

The fourth proportional to 7,757.82, 10,706.58 and 4,572.11 is: 6,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.82 : 10,706.58 = 4,572.11 : x
  2. Step 2: Convert to fraction form
    7,757.82/10,706.58 = 4,572.11/x
  3. Step 3: Cross multiply
    7,757.82x = 10,706.58 × 4,572.11
  4. Step 4: Simplify right side
    7,757.82x = 48,951,607.95
  5. Step 5: Solve for x
    x = 48,951,607.95/7,757.82
  6. Step 6: Final answer
    x = 6,309.97

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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.