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Finding the Fourth Proportional to 8,497.46, 12,746.19 and 3,304.55

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Solution

The fourth proportional to 8,497.46, 12,746.19 and 3,304.55 is: 4,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.46 : 12,746.19 = 3,304.55 : x
  2. Step 2: Convert to fraction form
    8,497.46/12,746.19 = 3,304.55/x
  3. Step 3: Cross multiply
    8,497.46x = 12,746.19 × 3,304.55
  4. Step 4: Simplify right side
    8,497.46x = 42,120,341.91
  5. Step 5: Solve for x
    x = 42,120,341.91/8,497.46
  6. Step 6: Final answer
    x = 4,956.82

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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.