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Finding the Fourth Proportional to 11,774.88, 16,249.34 and 6,470.09

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Solution

The fourth proportional to 11,774.88, 16,249.34 and 6,470.09 is: 8,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.88 : 16,249.34 = 6,470.09 : x
  2. Step 2: Convert to fraction form
    11,774.88/16,249.34 = 6,470.09/x
  3. Step 3: Cross multiply
    11,774.88x = 16,249.34 × 6,470.09
  4. Step 4: Simplify right side
    11,774.88x = 105,134,688.10
  5. Step 5: Solve for x
    x = 105,134,688.10/11,774.88
  6. Step 6: Final answer
    x = 8,928.73

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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.