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Finding the Fourth Proportional to 11,500.12, 15,869.88 and 6,464.44

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Solution

The fourth proportional to 11,500.12, 15,869.88 and 6,464.44 is: 8,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.12 : 15,869.88 = 6,464.44 : x
  2. Step 2: Convert to fraction form
    11,500.12/15,869.88 = 6,464.44/x
  3. Step 3: Cross multiply
    11,500.12x = 15,869.88 × 6,464.44
  4. Step 4: Simplify right side
    11,500.12x = 102,589,887.07
  5. Step 5: Solve for x
    x = 102,589,887.07/11,500.12
  6. Step 6: Final answer
    x = 8,920.77

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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.