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Finding the Fourth Proportional to 10,349.91, 14,282.44 and 5,873.58

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Solution

The fourth proportional to 10,349.91, 14,282.44 and 5,873.58 is: 8,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.91 : 14,282.44 = 5,873.58 : x
  2. Step 2: Convert to fraction form
    10,349.91/14,282.44 = 5,873.58/x
  3. Step 3: Cross multiply
    10,349.91x = 14,282.44 × 5,873.58
  4. Step 4: Simplify right side
    10,349.91x = 83,889,039.25
  5. Step 5: Solve for x
    x = 83,889,039.25/10,349.91
  6. Step 6: Final answer
    x = 8,105.29

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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.