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Finding the Fourth Proportional to 11,249.70, 15,524.64 and 6,470.70

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Solution

The fourth proportional to 11,249.70, 15,524.64 and 6,470.70 is: 8,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.70 : 15,524.64 = 6,470.70 : x
  2. Step 2: Convert to fraction form
    11,249.70/15,524.64 = 6,470.70/x
  3. Step 3: Cross multiply
    11,249.70x = 15,524.64 × 6,470.70
  4. Step 4: Simplify right side
    11,249.70x = 100,455,288.05
  5. Step 5: Solve for x
    x = 100,455,288.05/11,249.70
  6. Step 6: Final answer
    x = 8,929.60

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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.