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Finding the Fourth Proportional to 8,733.82, 13,102.76 and 2,493.92

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Solution

The fourth proportional to 8,733.82, 13,102.76 and 2,493.92 is: 3,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.82 : 13,102.76 = 2,493.92 : x
  2. Step 2: Convert to fraction form
    8,733.82/13,102.76 = 2,493.92/x
  3. Step 3: Cross multiply
    8,733.82x = 13,102.76 × 2,493.92
  4. Step 4: Simplify right side
    8,733.82x = 32,677,169.71
  5. Step 5: Solve for x
    x = 32,677,169.71/8,733.82
  6. Step 6: Final answer
    x = 3,741.45

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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.