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Finding the Fourth Proportional to 11,532.68, 15,917.42 and 7,552.34

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Solution

The fourth proportional to 11,532.68, 15,917.42 and 7,552.34 is: 10,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.68 : 15,917.42 = 7,552.34 : x
  2. Step 2: Convert to fraction form
    11,532.68/15,917.42 = 7,552.34/x
  3. Step 3: Cross multiply
    11,532.68x = 15,917.42 × 7,552.34
  4. Step 4: Simplify right side
    11,532.68x = 120,213,767.76
  5. Step 5: Solve for x
    x = 120,213,767.76/11,532.68
  6. Step 6: Final answer
    x = 10,423.75

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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.