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Finding the Fourth Proportional to 7,127.65, 10,691.47 and 3,861.50

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Solution

The fourth proportional to 7,127.65, 10,691.47 and 3,861.50 is: 5,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.65 : 10,691.47 = 3,861.50 : x
  2. Step 2: Convert to fraction form
    7,127.65/10,691.47 = 3,861.50/x
  3. Step 3: Cross multiply
    7,127.65x = 10,691.47 × 3,861.50
  4. Step 4: Simplify right side
    7,127.65x = 41,285,081.98
  5. Step 5: Solve for x
    x = 41,285,081.98/7,127.65
  6. Step 6: Final answer
    x = 5,792.25

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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.