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Finding the Fourth Proportional to 7,083.79, 10,630.78 and 5,713.67

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Solution

The fourth proportional to 7,083.79, 10,630.78 and 5,713.67 is: 8,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.79 : 10,630.78 = 5,713.67 : x
  2. Step 2: Convert to fraction form
    7,083.79/10,630.78 = 5,713.67/x
  3. Step 3: Cross multiply
    7,083.79x = 10,630.78 × 5,713.67
  4. Step 4: Simplify right side
    7,083.79x = 60,740,781.06
  5. Step 5: Solve for x
    x = 60,740,781.06/7,083.79
  6. Step 6: Final answer
    x = 8,574.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.