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Finding the Fourth Proportional to 8,071.12, 12,097.20 and 3,138.40

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Solution

The fourth proportional to 8,071.12, 12,097.20 and 3,138.40 is: 4,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.12 : 12,097.20 = 3,138.40 : x
  2. Step 2: Convert to fraction form
    8,071.12/12,097.20 = 3,138.40/x
  3. Step 3: Cross multiply
    8,071.12x = 12,097.20 × 3,138.40
  4. Step 4: Simplify right side
    8,071.12x = 37,965,852.48
  5. Step 5: Solve for x
    x = 37,965,852.48/8,071.12
  6. Step 6: Final answer
    x = 4,703.91

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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.