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Finding the Fourth Proportional to 10,585.50, 15,878.22 and 2,794.26

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Solution

The fourth proportional to 10,585.50, 15,878.22 and 2,794.26 is: 4,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.50 : 15,878.22 = 2,794.26 : x
  2. Step 2: Convert to fraction form
    10,585.50/15,878.22 = 2,794.26/x
  3. Step 3: Cross multiply
    10,585.50x = 15,878.22 × 2,794.26
  4. Step 4: Simplify right side
    10,585.50x = 44,367,875.02
  5. Step 5: Solve for x
    x = 44,367,875.02/10,585.50
  6. Step 6: Final answer
    x = 4,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.