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Finding the Fourth Proportional to 8,095.68, 12,150 and 3,167.64

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Solution

The fourth proportional to 8,095.68, 12,150 and 3,167.64 is: 4,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.68 : 12,150 = 3,167.64 : x
  2. Step 2: Convert to fraction form
    8,095.68/12,150 = 3,167.64/x
  3. Step 3: Cross multiply
    8,095.68x = 12,150 × 3,167.64
  4. Step 4: Simplify right side
    8,095.68x = 38,486,826
  5. Step 5: Solve for x
    x = 38,486,826/8,095.68
  6. Step 6: Final answer
    x = 4,754.00

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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.