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Finding the Fourth Proportional to 8,585.10, 12,893.49 and 5,143.50

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Solution

The fourth proportional to 8,585.10, 12,893.49 and 5,143.50 is: 7,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.10 : 12,893.49 = 5,143.50 : x
  2. Step 2: Convert to fraction form
    8,585.10/12,893.49 = 5,143.50/x
  3. Step 3: Cross multiply
    8,585.10x = 12,893.49 × 5,143.50
  4. Step 4: Simplify right side
    8,585.10x = 66,317,665.82
  5. Step 5: Solve for x
    x = 66,317,665.82/8,585.10
  6. Step 6: Final answer
    x = 7,724.74

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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.