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Finding the Fourth Proportional to 10,842.09, 16,264.21 and 5,000.37

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Solution

The fourth proportional to 10,842.09, 16,264.21 and 5,000.37 is: 7,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.09 : 16,264.21 = 5,000.37 : x
  2. Step 2: Convert to fraction form
    10,842.09/16,264.21 = 5,000.37/x
  3. Step 3: Cross multiply
    10,842.09x = 16,264.21 × 5,000.37
  4. Step 4: Simplify right side
    10,842.09x = 81,327,067.76
  5. Step 5: Solve for x
    x = 81,327,067.76/10,842.09
  6. Step 6: Final answer
    x = 7,501.05

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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.