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Finding the Fourth Proportional to 10,585.44, 15,878.16 and 2,794.08

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Solution

The fourth proportional to 10,585.44, 15,878.16 and 2,794.08 is: 4,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.44 : 15,878.16 = 2,794.08 : x
  2. Step 2: Convert to fraction form
    10,585.44/15,878.16 = 2,794.08/x
  3. Step 3: Cross multiply
    10,585.44x = 15,878.16 × 2,794.08
  4. Step 4: Simplify right side
    10,585.44x = 44,364,849.29
  5. Step 5: Solve for x
    x = 44,364,849.29/10,585.44
  6. Step 6: Final answer
    x = 4,191.12

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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.