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Finding the Fourth Proportional to 8,239.58, 11,371.84 and 4,703.66

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Solution

The fourth proportional to 8,239.58, 11,371.84 and 4,703.66 is: 6,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.58 : 11,371.84 = 4,703.66 : x
  2. Step 2: Convert to fraction form
    8,239.58/11,371.84 = 4,703.66/x
  3. Step 3: Cross multiply
    8,239.58x = 11,371.84 × 4,703.66
  4. Step 4: Simplify right side
    8,239.58x = 53,489,245.42
  5. Step 5: Solve for x
    x = 53,489,245.42/8,239.58
  6. Step 6: Final answer
    x = 6,491.74

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