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Finding the Fourth Proportional to 8,386.33, 12,561.72 and 5,741.43

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Solution

The fourth proportional to 8,386.33, 12,561.72 and 5,741.43 is: 8,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.33 : 12,561.72 = 5,741.43 : x
  2. Step 2: Convert to fraction form
    8,386.33/12,561.72 = 5,741.43/x
  3. Step 3: Cross multiply
    8,386.33x = 12,561.72 × 5,741.43
  4. Step 4: Simplify right side
    8,386.33x = 72,122,236.06
  5. Step 5: Solve for x
    x = 72,122,236.06/8,386.33
  6. Step 6: Final answer
    x = 8,599.98

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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.