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Finding the Fourth Proportional to 8,106.78, 12,096.69 and 7,057.02

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Solution

The fourth proportional to 8,106.78, 12,096.69 and 7,057.02 is: 10,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.78 : 12,096.69 = 7,057.02 : x
  2. Step 2: Convert to fraction form
    8,106.78/12,096.69 = 7,057.02/x
  3. Step 3: Cross multiply
    8,106.78x = 12,096.69 × 7,057.02
  4. Step 4: Simplify right side
    8,106.78x = 85,366,583.26
  5. Step 5: Solve for x
    x = 85,366,583.26/8,106.78
  6. Step 6: Final answer
    x = 10,530.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.