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Finding the Fourth Proportional to 8,113.32, 12,164.90 and 3,725.14

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Solution

The fourth proportional to 8,113.32, 12,164.90 and 3,725.14 is: 5,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.32 : 12,164.90 = 3,725.14 : x
  2. Step 2: Convert to fraction form
    8,113.32/12,164.90 = 3,725.14/x
  3. Step 3: Cross multiply
    8,113.32x = 12,164.90 × 3,725.14
  4. Step 4: Simplify right side
    8,113.32x = 45,315,955.59
  5. Step 5: Solve for x
    x = 45,315,955.59/8,113.32
  6. Step 6: Final answer
    x = 5,585.38

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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.