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Finding the Fourth Proportional to 8,235.50, 12,341.10 and 5,311.40

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Solution

The fourth proportional to 8,235.50, 12,341.10 and 5,311.40 is: 7,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.50 : 12,341.10 = 5,311.40 : x
  2. Step 2: Convert to fraction form
    8,235.50/12,341.10 = 5,311.40/x
  3. Step 3: Cross multiply
    8,235.50x = 12,341.10 × 5,311.40
  4. Step 4: Simplify right side
    8,235.50x = 65,548,518.54
  5. Step 5: Solve for x
    x = 65,548,518.54/8,235.50
  6. Step 6: Final answer
    x = 7,959.26

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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.