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Finding the Fourth Proportional to 8,058.50, 12,106.28 and 5,724.18

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Solution

The fourth proportional to 8,058.50, 12,106.28 and 5,724.18 is: 8,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.50 : 12,106.28 = 5,724.18 : x
  2. Step 2: Convert to fraction form
    8,058.50/12,106.28 = 5,724.18/x
  3. Step 3: Cross multiply
    8,058.50x = 12,106.28 × 5,724.18
  4. Step 4: Simplify right side
    8,058.50x = 69,298,525.85
  5. Step 5: Solve for x
    x = 69,298,525.85/8,058.50
  6. Step 6: Final answer
    x = 8,599.43

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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.