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Finding the Fourth Proportional to 28,722.31, 43,083.07 and 10,002

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Solution

The fourth proportional to 28,722.31, 43,083.07 and 10,002 is: 15,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,722.31 : 43,083.07 = 10,002 : x
  2. Step 2: Convert to fraction form
    28,722.31/43,083.07 = 10,002/x
  3. Step 3: Cross multiply
    28,722.31x = 43,083.07 × 10,002
  4. Step 4: Simplify right side
    28,722.31x = 430,916,866.14
  5. Step 5: Solve for x
    x = 430,916,866.14/28,722.31
  6. Step 6: Final answer
    x = 15,002.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.