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Finding the Fourth Proportional to 8,314.75, 12,474.60 and 4,803.90

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Solution

The fourth proportional to 8,314.75, 12,474.60 and 4,803.90 is: 7,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.75 : 12,474.60 = 4,803.90 : x
  2. Step 2: Convert to fraction form
    8,314.75/12,474.60 = 4,803.90/x
  3. Step 3: Cross multiply
    8,314.75x = 12,474.60 × 4,803.90
  4. Step 4: Simplify right side
    8,314.75x = 59,926,730.94
  5. Step 5: Solve for x
    x = 59,926,730.94/8,314.75
  6. Step 6: Final answer
    x = 7,207.28

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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.