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Finding the Fourth Proportional to 10,919.19, 16,385.14 and 4,593.61

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Solution

The fourth proportional to 10,919.19, 16,385.14 and 4,593.61 is: 6,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.19 : 16,385.14 = 4,593.61 : x
  2. Step 2: Convert to fraction form
    10,919.19/16,385.14 = 4,593.61/x
  3. Step 3: Cross multiply
    10,919.19x = 16,385.14 × 4,593.61
  4. Step 4: Simplify right side
    10,919.19x = 75,266,838.06
  5. Step 5: Solve for x
    x = 75,266,838.06/10,919.19
  6. Step 6: Final answer
    x = 6,893.08

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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.