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Finding the Fourth Proportional to 8,128.80, 12,185.84 and 2,931

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Solution

The fourth proportional to 8,128.80, 12,185.84 and 2,931 is: 4,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.80 : 12,185.84 = 2,931 : x
  2. Step 2: Convert to fraction form
    8,128.80/12,185.84 = 2,931/x
  3. Step 3: Cross multiply
    8,128.80x = 12,185.84 × 2,931
  4. Step 4: Simplify right side
    8,128.80x = 35,716,697.04
  5. Step 5: Solve for x
    x = 35,716,697.04/8,128.80
  6. Step 6: Final answer
    x = 4,393.85

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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.