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Finding the Fourth Proportional to 8,846.34, 13,275 and 5,150.22

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Solution

The fourth proportional to 8,846.34, 13,275 and 5,150.22 is: 7,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.34 : 13,275 = 5,150.22 : x
  2. Step 2: Convert to fraction form
    8,846.34/13,275 = 5,150.22/x
  3. Step 3: Cross multiply
    8,846.34x = 13,275 × 5,150.22
  4. Step 4: Simplify right side
    8,846.34x = 68,369,170.50
  5. Step 5: Solve for x
    x = 68,369,170.50/8,846.34
  6. Step 6: Final answer
    x = 7,728.53

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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.