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Finding the Fourth Proportional to 11,860.50, 16,366.86 and 6,555

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Solution

The fourth proportional to 11,860.50, 16,366.86 and 6,555 is: 9,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.50 : 16,366.86 = 6,555 : x
  2. Step 2: Convert to fraction form
    11,860.50/16,366.86 = 6,555/x
  3. Step 3: Cross multiply
    11,860.50x = 16,366.86 × 6,555
  4. Step 4: Simplify right side
    11,860.50x = 107,284,734.53
  5. Step 5: Solve for x
    x = 107,284,734.53/11,860.50
  6. Step 6: Final answer
    x = 9,045.55

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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.