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Finding the Fourth Proportional to 8,176.14, 12,264 and 4,867.14

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Solution

The fourth proportional to 8,176.14, 12,264 and 4,867.14 is: 7,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.14 : 12,264 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    8,176.14/12,264 = 4,867.14/x
  3. Step 3: Cross multiply
    8,176.14x = 12,264 × 4,867.14
  4. Step 4: Simplify right side
    8,176.14x = 59,690,604.96
  5. Step 5: Solve for x
    x = 59,690,604.96/8,176.14
  6. Step 6: Final answer
    x = 7,300.58

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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.