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Finding the Fourth Proportional to 10,096.68, 15,135.81 and 8,546.64

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Solution

The fourth proportional to 10,096.68, 15,135.81 and 8,546.64 is: 12,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.68 : 15,135.81 = 8,546.64 : x
  2. Step 2: Convert to fraction form
    10,096.68/15,135.81 = 8,546.64/x
  3. Step 3: Cross multiply
    10,096.68x = 15,135.81 × 8,546.64
  4. Step 4: Simplify right side
    10,096.68x = 129,360,319.18
  5. Step 5: Solve for x
    x = 129,360,319.18/10,096.68
  6. Step 6: Final answer
    x = 12,812.16

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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.