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Finding the Fourth Proportional to 10,073.09, 13,900.19 and 5,823.83

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Solution

The fourth proportional to 10,073.09, 13,900.19 and 5,823.83 is: 8,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.09 : 13,900.19 = 5,823.83 : x
  2. Step 2: Convert to fraction form
    10,073.09/13,900.19 = 5,823.83/x
  3. Step 3: Cross multiply
    10,073.09x = 13,900.19 × 5,823.83
  4. Step 4: Simplify right side
    10,073.09x = 80,952,244.91
  5. Step 5: Solve for x
    x = 80,952,244.91/10,073.09
  6. Step 6: Final answer
    x = 8,036.49

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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.