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Finding the Fourth Proportional to 10,979.86, 16,459.70 and 4,049.50

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Solution

The fourth proportional to 10,979.86, 16,459.70 and 4,049.50 is: 6,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.86 : 16,459.70 = 4,049.50 : x
  2. Step 2: Convert to fraction form
    10,979.86/16,459.70 = 4,049.50/x
  3. Step 3: Cross multiply
    10,979.86x = 16,459.70 × 4,049.50
  4. Step 4: Simplify right side
    10,979.86x = 66,653,555.15
  5. Step 5: Solve for x
    x = 66,653,555.15/10,979.86
  6. Step 6: Final answer
    x = 6,070.53

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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.