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Finding the Fourth Proportional to 10,933, 16,403.12 and 5,390.16

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Solution

The fourth proportional to 10,933, 16,403.12 and 5,390.16 is: 8,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 16,403.12 = 5,390.16 : x
  2. Step 2: Convert to fraction form
    10,933/16,403.12 = 5,390.16/x
  3. Step 3: Cross multiply
    10,933x = 16,403.12 × 5,390.16
  4. Step 4: Simplify right side
    10,933x = 88,415,441.30
  5. Step 5: Solve for x
    x = 88,415,441.30/10,933
  6. Step 6: Final answer
    x = 8,087.02

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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.