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Finding the Fourth Proportional to 10,578.84, 15,869.30 and 3,917.11

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Solution

The fourth proportional to 10,578.84, 15,869.30 and 3,917.11 is: 5,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.84 : 15,869.30 = 3,917.11 : x
  2. Step 2: Convert to fraction form
    10,578.84/15,869.30 = 3,917.11/x
  3. Step 3: Cross multiply
    10,578.84x = 15,869.30 × 3,917.11
  4. Step 4: Simplify right side
    10,578.84x = 62,161,803.52
  5. Step 5: Solve for x
    x = 62,161,803.52/10,578.84
  6. Step 6: Final answer
    x = 5,876.05

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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.