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Finding the Fourth Proportional to 10,021.33, 13,829.97 and 6,043.02

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Solution

The fourth proportional to 10,021.33, 13,829.97 and 6,043.02 is: 8,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.33 : 13,829.97 = 6,043.02 : x
  2. Step 2: Convert to fraction form
    10,021.33/13,829.97 = 6,043.02/x
  3. Step 3: Cross multiply
    10,021.33x = 13,829.97 × 6,043.02
  4. Step 4: Simplify right side
    10,021.33x = 83,574,785.31
  5. Step 5: Solve for x
    x = 83,574,785.31/10,021.33
  6. Step 6: Final answer
    x = 8,339.69

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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.