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Finding the Fourth Proportional to 10,939.84, 16,431.84 and 6,565.60

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Solution

The fourth proportional to 10,939.84, 16,431.84 and 6,565.60 is: 9,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.84 : 16,431.84 = 6,565.60 : x
  2. Step 2: Convert to fraction form
    10,939.84/16,431.84 = 6,565.60/x
  3. Step 3: Cross multiply
    10,939.84x = 16,431.84 × 6,565.60
  4. Step 4: Simplify right side
    10,939.84x = 107,884,888.70
  5. Step 5: Solve for x
    x = 107,884,888.70/10,939.84
  6. Step 6: Final answer
    x = 9,861.65

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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.