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Finding the Fourth Proportional to 8,364.53, 12,551.66 and 3,747.53

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Solution

The fourth proportional to 8,364.53, 12,551.66 and 3,747.53 is: 5,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.53 : 12,551.66 = 3,747.53 : x
  2. Step 2: Convert to fraction form
    8,364.53/12,551.66 = 3,747.53/x
  3. Step 3: Cross multiply
    8,364.53x = 12,551.66 × 3,747.53
  4. Step 4: Simplify right side
    8,364.53x = 47,037,744.41
  5. Step 5: Solve for x
    x = 47,037,744.41/8,364.53
  6. Step 6: Final answer
    x = 5,623.48

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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.