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Finding the Fourth Proportional to 8,653.70, 12,982.36 and 3,724.58

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Solution

The fourth proportional to 8,653.70, 12,982.36 and 3,724.58 is: 5,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.70 : 12,982.36 = 3,724.58 : x
  2. Step 2: Convert to fraction form
    8,653.70/12,982.36 = 3,724.58/x
  3. Step 3: Cross multiply
    8,653.70x = 12,982.36 × 3,724.58
  4. Step 4: Simplify right side
    8,653.70x = 48,353,838.41
  5. Step 5: Solve for x
    x = 48,353,838.41/8,653.70
  6. Step 6: Final answer
    x = 5,587.65

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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.