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Finding the Fourth Proportional to 11,277.84, 16,919.58 and 4,257.84

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Solution

The fourth proportional to 11,277.84, 16,919.58 and 4,257.84 is: 6,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.84 : 16,919.58 = 4,257.84 : x
  2. Step 2: Convert to fraction form
    11,277.84/16,919.58 = 4,257.84/x
  3. Step 3: Cross multiply
    11,277.84x = 16,919.58 × 4,257.84
  4. Step 4: Simplify right side
    11,277.84x = 72,040,864.51
  5. Step 5: Solve for x
    x = 72,040,864.51/11,277.84
  6. Step 6: Final answer
    x = 6,387.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.