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Finding the Fourth Proportional to 10,919.25, 16,385.23 and 4,593.67

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Solution

The fourth proportional to 10,919.25, 16,385.23 and 4,593.67 is: 6,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.25 : 16,385.23 = 4,593.67 : x
  2. Step 2: Convert to fraction form
    10,919.25/16,385.23 = 4,593.67/x
  3. Step 3: Cross multiply
    10,919.25x = 16,385.23 × 4,593.67
  4. Step 4: Simplify right side
    10,919.25x = 75,268,291.35
  5. Step 5: Solve for x
    x = 75,268,291.35/10,919.25
  6. Step 6: Final answer
    x = 6,893.17

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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.