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Finding the Fourth Proportional to 10,224.23, 15,309 and 5,835.65

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Solution

The fourth proportional to 10,224.23, 15,309 and 5,835.65 is: 8,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.23 : 15,309 = 5,835.65 : x
  2. Step 2: Convert to fraction form
    10,224.23/15,309 = 5,835.65/x
  3. Step 3: Cross multiply
    10,224.23x = 15,309 × 5,835.65
  4. Step 4: Simplify right side
    10,224.23x = 89,337,889.31
  5. Step 5: Solve for x
    x = 89,337,889.31/10,224.23
  6. Step 6: Final answer
    x = 8,737.86

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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.