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Finding the Fourth Proportional to 11,265.68, 15,532.06 and 7,722.56

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Solution

The fourth proportional to 11,265.68, 15,532.06 and 7,722.56 is: 10,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.68 : 15,532.06 = 7,722.56 : x
  2. Step 2: Convert to fraction form
    11,265.68/15,532.06 = 7,722.56/x
  3. Step 3: Cross multiply
    11,265.68x = 15,532.06 × 7,722.56
  4. Step 4: Simplify right side
    11,265.68x = 119,947,265.27
  5. Step 5: Solve for x
    x = 119,947,265.27/11,265.68
  6. Step 6: Final answer
    x = 10,647.14

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