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Finding the Fourth Proportional to 10,961.68, 16,430.19 and 5,403.26

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Solution

The fourth proportional to 10,961.68, 16,430.19 and 5,403.26 is: 8,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.68 : 16,430.19 = 5,403.26 : x
  2. Step 2: Convert to fraction form
    10,961.68/16,430.19 = 5,403.26/x
  3. Step 3: Cross multiply
    10,961.68x = 16,430.19 × 5,403.26
  4. Step 4: Simplify right side
    10,961.68x = 88,776,588.42
  5. Step 5: Solve for x
    x = 88,776,588.42/10,961.68
  6. Step 6: Final answer
    x = 8,098.81

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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.