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Finding the Fourth Proportional to 8,341.62, 12,506.52 and 4,178.66

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Solution

The fourth proportional to 8,341.62, 12,506.52 and 4,178.66 is: 6,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.62 : 12,506.52 = 4,178.66 : x
  2. Step 2: Convert to fraction form
    8,341.62/12,506.52 = 4,178.66/x
  3. Step 3: Cross multiply
    8,341.62x = 12,506.52 × 4,178.66
  4. Step 4: Simplify right side
    8,341.62x = 52,260,424.50
  5. Step 5: Solve for x
    x = 52,260,424.50/8,341.62
  6. Step 6: Final answer
    x = 6,265.02

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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.