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Finding the Fourth Proportional to 10,585.92, 15,878.34 and 2,794.44

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Solution

The fourth proportional to 10,585.92, 15,878.34 and 2,794.44 is: 4,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.92 : 15,878.34 = 2,794.44 : x
  2. Step 2: Convert to fraction form
    10,585.92/15,878.34 = 2,794.44/x
  3. Step 3: Cross multiply
    10,585.92x = 15,878.34 × 2,794.44
  4. Step 4: Simplify right side
    10,585.92x = 44,371,068.43
  5. Step 5: Solve for x
    x = 44,371,068.43/10,585.92
  6. Step 6: Final answer
    x = 4,191.52

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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.