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Finding the Fourth Proportional to 10,183.68, 15,283.20 and 8,156.16

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Solution

The fourth proportional to 10,183.68, 15,283.20 and 8,156.16 is: 12,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.68 : 15,283.20 = 8,156.16 : x
  2. Step 2: Convert to fraction form
    10,183.68/15,283.20 = 8,156.16/x
  3. Step 3: Cross multiply
    10,183.68x = 15,283.20 × 8,156.16
  4. Step 4: Simplify right side
    10,183.68x = 124,652,224.51
  5. Step 5: Solve for x
    x = 124,652,224.51/10,183.68
  6. Step 6: Final answer
    x = 12,240.39

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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.