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Finding the Fourth Proportional to 11,775.30, 16,249.91 and 6,470.12

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Solution

The fourth proportional to 11,775.30, 16,249.91 and 6,470.12 is: 8,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.30 : 16,249.91 = 6,470.12 : x
  2. Step 2: Convert to fraction form
    11,775.30/16,249.91 = 6,470.12/x
  3. Step 3: Cross multiply
    11,775.30x = 16,249.91 × 6,470.12
  4. Step 4: Simplify right side
    11,775.30x = 105,138,754.09
  5. Step 5: Solve for x
    x = 105,138,754.09/11,775.30
  6. Step 6: Final answer
    x = 8,928.75

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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.