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Finding the Fourth Proportional to 7,297.61, 10,947.02 and 3,137.72

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Solution

The fourth proportional to 7,297.61, 10,947.02 and 3,137.72 is: 4,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.61 : 10,947.02 = 3,137.72 : x
  2. Step 2: Convert to fraction form
    7,297.61/10,947.02 = 3,137.72/x
  3. Step 3: Cross multiply
    7,297.61x = 10,947.02 × 3,137.72
  4. Step 4: Simplify right side
    7,297.61x = 34,348,613.17
  5. Step 5: Solve for x
    x = 34,348,613.17/7,297.61
  6. Step 6: Final answer
    x = 4,706.83

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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.