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Finding the Fourth Proportional to 8,064.11, 12,096.93 and 3,134.13

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Solution

The fourth proportional to 8,064.11, 12,096.93 and 3,134.13 is: 4,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.11 : 12,096.93 = 3,134.13 : x
  2. Step 2: Convert to fraction form
    8,064.11/12,096.93 = 3,134.13/x
  3. Step 3: Cross multiply
    8,064.11x = 12,096.93 × 3,134.13
  4. Step 4: Simplify right side
    8,064.11x = 37,913,351.22
  5. Step 5: Solve for x
    x = 37,913,351.22/8,064.11
  6. Step 6: Final answer
    x = 4,701.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.