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Finding the Fourth Proportional to 8,178.40, 12,264.50 and 3,495.48

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Solution

The fourth proportional to 8,178.40, 12,264.50 and 3,495.48 is: 5,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.40 : 12,264.50 = 3,495.48 : x
  2. Step 2: Convert to fraction form
    8,178.40/12,264.50 = 3,495.48/x
  3. Step 3: Cross multiply
    8,178.40x = 12,264.50 × 3,495.48
  4. Step 4: Simplify right side
    8,178.40x = 42,870,235.66
  5. Step 5: Solve for x
    x = 42,870,235.66/8,178.40
  6. Step 6: Final answer
    x = 5,241.89

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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.