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Finding the Fourth Proportional to 7,686.88, 11,519.16 and 4,173.91

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Solution

The fourth proportional to 7,686.88, 11,519.16 and 4,173.91 is: 6,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.88 : 11,519.16 = 4,173.91 : x
  2. Step 2: Convert to fraction form
    7,686.88/11,519.16 = 4,173.91/x
  3. Step 3: Cross multiply
    7,686.88x = 11,519.16 × 4,173.91
  4. Step 4: Simplify right side
    7,686.88x = 48,079,937.12
  5. Step 5: Solve for x
    x = 48,079,937.12/7,686.88
  6. Step 6: Final answer
    x = 6,254.81

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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.