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Finding the Fourth Proportional to 8,068.11, 12,102.93 and 3,138.13

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Solution

The fourth proportional to 8,068.11, 12,102.93 and 3,138.13 is: 4,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.11 : 12,102.93 = 3,138.13 : x
  2. Step 2: Convert to fraction form
    8,068.11/12,102.93 = 3,138.13/x
  3. Step 3: Cross multiply
    8,068.11x = 12,102.93 × 3,138.13
  4. Step 4: Simplify right side
    8,068.11x = 37,980,567.72
  5. Step 5: Solve for x
    x = 37,980,567.72/8,068.11
  6. Step 6: Final answer
    x = 4,707.49

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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.