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Finding the Fourth Proportional to 10,866.26, 16,298.02 and 3,470.10

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Solution

The fourth proportional to 10,866.26, 16,298.02 and 3,470.10 is: 5,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.26 : 16,298.02 = 3,470.10 : x
  2. Step 2: Convert to fraction form
    10,866.26/16,298.02 = 3,470.10/x
  3. Step 3: Cross multiply
    10,866.26x = 16,298.02 × 3,470.10
  4. Step 4: Simplify right side
    10,866.26x = 56,555,741.85
  5. Step 5: Solve for x
    x = 56,555,741.85/10,866.26
  6. Step 6: Final answer
    x = 5,204.71

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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.