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Finding the Fourth Proportional to 7,278.27, 10,868.06 and 5,780.67

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Solution

The fourth proportional to 7,278.27, 10,868.06 and 5,780.67 is: 8,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.27 : 10,868.06 = 5,780.67 : x
  2. Step 2: Convert to fraction form
    7,278.27/10,868.06 = 5,780.67/x
  3. Step 3: Cross multiply
    7,278.27x = 10,868.06 × 5,780.67
  4. Step 4: Simplify right side
    7,278.27x = 62,824,639.50
  5. Step 5: Solve for x
    x = 62,824,639.50/7,278.27
  6. Step 6: Final answer
    x = 8,631.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.