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Finding the Fourth Proportional to 7,092.70, 10,637.67 and 2,709.11

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Solution

The fourth proportional to 7,092.70, 10,637.67 and 2,709.11 is: 4,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.70 : 10,637.67 = 2,709.11 : x
  2. Step 2: Convert to fraction form
    7,092.70/10,637.67 = 2,709.11/x
  3. Step 3: Cross multiply
    7,092.70x = 10,637.67 × 2,709.11
  4. Step 4: Simplify right side
    7,092.70x = 28,818,618.17
  5. Step 5: Solve for x
    x = 28,818,618.17/7,092.70
  6. Step 6: Final answer
    x = 4,063.14

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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.