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Finding the Fourth Proportional to 8,678.83, 13,018.13 and 2,105.07

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Solution

The fourth proportional to 8,678.83, 13,018.13 and 2,105.07 is: 3,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.83 : 13,018.13 = 2,105.07 : x
  2. Step 2: Convert to fraction form
    8,678.83/13,018.13 = 2,105.07/x
  3. Step 3: Cross multiply
    8,678.83x = 13,018.13 × 2,105.07
  4. Step 4: Simplify right side
    8,678.83x = 27,404,074.92
  5. Step 5: Solve for x
    x = 27,404,074.92/8,678.83
  6. Step 6: Final answer
    x = 3,157.58

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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.