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Finding the Fourth Proportional to 11,855.66, 16,360.35 and 6,478.12

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Solution

The fourth proportional to 11,855.66, 16,360.35 and 6,478.12 is: 8,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.66 : 16,360.35 = 6,478.12 : x
  2. Step 2: Convert to fraction form
    11,855.66/16,360.35 = 6,478.12/x
  3. Step 3: Cross multiply
    11,855.66x = 16,360.35 × 6,478.12
  4. Step 4: Simplify right side
    11,855.66x = 105,984,228.74
  5. Step 5: Solve for x
    x = 105,984,228.74/11,855.66
  6. Step 6: Final answer
    x = 8,939.55

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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.