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Finding the Fourth Proportional to 7,697.74, 11,541.98 and 3,012.16

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Solution

The fourth proportional to 7,697.74, 11,541.98 and 3,012.16 is: 4,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.74 : 11,541.98 = 3,012.16 : x
  2. Step 2: Convert to fraction form
    7,697.74/11,541.98 = 3,012.16/x
  3. Step 3: Cross multiply
    7,697.74x = 11,541.98 × 3,012.16
  4. Step 4: Simplify right side
    7,697.74x = 34,766,217.71
  5. Step 5: Solve for x
    x = 34,766,217.71/7,697.74
  6. Step 6: Final answer
    x = 4,516.42

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Why These Related Problems?

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