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Finding the Fourth Proportional to 11,503.68, 15,874.80 and 7,524.70

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Solution

The fourth proportional to 11,503.68, 15,874.80 and 7,524.70 is: 10,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.68 : 15,874.80 = 7,524.70 : x
  2. Step 2: Convert to fraction form
    11,503.68/15,874.80 = 7,524.70/x
  3. Step 3: Cross multiply
    11,503.68x = 15,874.80 × 7,524.70
  4. Step 4: Simplify right side
    11,503.68x = 119,453,107.56
  5. Step 5: Solve for x
    x = 119,453,107.56/11,503.68
  6. Step 6: Final answer
    x = 10,383.91

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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.