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Finding the Fourth Proportional to 7,700.25, 11,545.71 and 3,014.67

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Solution

The fourth proportional to 7,700.25, 11,545.71 and 3,014.67 is: 4,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.25 : 11,545.71 = 3,014.67 : x
  2. Step 2: Convert to fraction form
    7,700.25/11,545.71 = 3,014.67/x
  3. Step 3: Cross multiply
    7,700.25x = 11,545.71 × 3,014.67
  4. Step 4: Simplify right side
    7,700.25x = 34,806,505.57
  5. Step 5: Solve for x
    x = 34,806,505.57/7,700.25
  6. Step 6: Final answer
    x = 4,520.18

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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.