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Finding the Fourth Proportional to 10,162.53, 15,222.33 and 8,403.21

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Solution

The fourth proportional to 10,162.53, 15,222.33 and 8,403.21 is: 12,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.53 : 15,222.33 = 8,403.21 : x
  2. Step 2: Convert to fraction form
    10,162.53/15,222.33 = 8,403.21/x
  3. Step 3: Cross multiply
    10,162.53x = 15,222.33 × 8,403.21
  4. Step 4: Simplify right side
    10,162.53x = 127,916,435.68
  5. Step 5: Solve for x
    x = 127,916,435.68/10,162.53
  6. Step 6: Final answer
    x = 12,587.07

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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.