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Finding the Fourth Proportional to 10,384.74, 14,329.02 and 5,847.06

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Solution

The fourth proportional to 10,384.74, 14,329.02 and 5,847.06 is: 8,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.74 : 14,329.02 = 5,847.06 : x
  2. Step 2: Convert to fraction form
    10,384.74/14,329.02 = 5,847.06/x
  3. Step 3: Cross multiply
    10,384.74x = 14,329.02 × 5,847.06
  4. Step 4: Simplify right side
    10,384.74x = 83,782,639.68
  5. Step 5: Solve for x
    x = 83,782,639.68/10,384.74
  6. Step 6: Final answer
    x = 8,067.86

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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.