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Finding the Fourth Proportional to 8,738.42, 12,059.07 and 5,153.41

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Solution

The fourth proportional to 8,738.42, 12,059.07 and 5,153.41 is: 7,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.42 : 12,059.07 = 5,153.41 : x
  2. Step 2: Convert to fraction form
    8,738.42/12,059.07 = 5,153.41/x
  3. Step 3: Cross multiply
    8,738.42x = 12,059.07 × 5,153.41
  4. Step 4: Simplify right side
    8,738.42x = 62,145,327.68
  5. Step 5: Solve for x
    x = 62,145,327.68/8,738.42
  6. Step 6: Final answer
    x = 7,111.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.