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Finding the Fourth Proportional to 8,473.50, 12,710.07 and 3,792.42

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Solution

The fourth proportional to 8,473.50, 12,710.07 and 3,792.42 is: 5,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.50 : 12,710.07 = 3,792.42 : x
  2. Step 2: Convert to fraction form
    8,473.50/12,710.07 = 3,792.42/x
  3. Step 3: Cross multiply
    8,473.50x = 12,710.07 × 3,792.42
  4. Step 4: Simplify right side
    8,473.50x = 48,201,923.67
  5. Step 5: Solve for x
    x = 48,201,923.67/8,473.50
  6. Step 6: Final answer
    x = 5,688.55

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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.