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Finding the Fourth Proportional to 11,817.50, 16,308.08 and 6,439.93

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Solution

The fourth proportional to 11,817.50, 16,308.08 and 6,439.93 is: 8,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.50 : 16,308.08 = 6,439.93 : x
  2. Step 2: Convert to fraction form
    11,817.50/16,308.08 = 6,439.93/x
  3. Step 3: Cross multiply
    11,817.50x = 16,308.08 × 6,439.93
  4. Step 4: Simplify right side
    11,817.50x = 105,022,909.73
  5. Step 5: Solve for x
    x = 105,022,909.73/11,817.50
  6. Step 6: Final answer
    x = 8,887.07

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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.