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Finding the Fourth Proportional to 8,239.87, 11,371.83 and 4,703.61

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Solution

The fourth proportional to 8,239.87, 11,371.83 and 4,703.61 is: 6,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.87 : 11,371.83 = 4,703.61 : x
  2. Step 2: Convert to fraction form
    8,239.87/11,371.83 = 4,703.61/x
  3. Step 3: Cross multiply
    8,239.87x = 11,371.83 × 4,703.61
  4. Step 4: Simplify right side
    8,239.87x = 53,488,653.31
  5. Step 5: Solve for x
    x = 53,488,653.31/8,239.87
  6. Step 6: Final answer
    x = 6,491.45

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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.