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Finding the Fourth Proportional to 10,650.30, 15,981.42 and 6,213.12

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Solution

The fourth proportional to 10,650.30, 15,981.42 and 6,213.12 is: 9,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.30 : 15,981.42 = 6,213.12 : x
  2. Step 2: Convert to fraction form
    10,650.30/15,981.42 = 6,213.12/x
  3. Step 3: Cross multiply
    10,650.30x = 15,981.42 × 6,213.12
  4. Step 4: Simplify right side
    10,650.30x = 99,294,480.23
  5. Step 5: Solve for x
    x = 99,294,480.23/10,650.30
  6. Step 6: Final answer
    x = 9,323.16

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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.