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Finding the Fourth Proportional to 7,616.85, 10,510.82 and 4,213.67

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Solution

The fourth proportional to 7,616.85, 10,510.82 and 4,213.67 is: 5,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.85 : 10,510.82 = 4,213.67 : x
  2. Step 2: Convert to fraction form
    7,616.85/10,510.82 = 4,213.67/x
  3. Step 3: Cross multiply
    7,616.85x = 10,510.82 × 4,213.67
  4. Step 4: Simplify right side
    7,616.85x = 44,289,053.29
  5. Step 5: Solve for x
    x = 44,289,053.29/7,616.85
  6. Step 6: Final answer
    x = 5,814.62

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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.