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Finding the Fourth Proportional to 11,785.29, 17,678.10 and 3,019.98

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Solution

The fourth proportional to 11,785.29, 17,678.10 and 3,019.98 is: 4,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.29 : 17,678.10 = 3,019.98 : x
  2. Step 2: Convert to fraction form
    11,785.29/17,678.10 = 3,019.98/x
  3. Step 3: Cross multiply
    11,785.29x = 17,678.10 × 3,019.98
  4. Step 4: Simplify right side
    11,785.29x = 53,387,508.44
  5. Step 5: Solve for x
    x = 53,387,508.44/11,785.29
  6. Step 6: Final answer
    x = 4,530.01

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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.