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Finding the Fourth Proportional to 8,443.80, 12,663.32 and 3,178.40

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Solution

The fourth proportional to 8,443.80, 12,663.32 and 3,178.40 is: 4,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.80 : 12,663.32 = 3,178.40 : x
  2. Step 2: Convert to fraction form
    8,443.80/12,663.32 = 3,178.40/x
  3. Step 3: Cross multiply
    8,443.80x = 12,663.32 × 3,178.40
  4. Step 4: Simplify right side
    8,443.80x = 40,249,017.08
  5. Step 5: Solve for x
    x = 40,249,017.08/8,443.80
  6. Step 6: Final answer
    x = 4,766.69

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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.