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Finding the Fourth Proportional to 11,250.68, 15,511.38 and 7,707.56

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Solution

The fourth proportional to 11,250.68, 15,511.38 and 7,707.56 is: 10,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.68 : 15,511.38 = 7,707.56 : x
  2. Step 2: Convert to fraction form
    11,250.68/15,511.38 = 7,707.56/x
  3. Step 3: Cross multiply
    11,250.68x = 15,511.38 × 7,707.56
  4. Step 4: Simplify right side
    11,250.68x = 119,554,892.03
  5. Step 5: Solve for x
    x = 119,554,892.03/11,250.68
  6. Step 6: Final answer
    x = 10,626.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.