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Finding the Fourth Proportional to 8,675.83, 13,013.78 and 2,102

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Solution

The fourth proportional to 8,675.83, 13,013.78 and 2,102 is: 3,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.83 : 13,013.78 = 2,102 : x
  2. Step 2: Convert to fraction form
    8,675.83/13,013.78 = 2,102/x
  3. Step 3: Cross multiply
    8,675.83x = 13,013.78 × 2,102
  4. Step 4: Simplify right side
    8,675.83x = 27,354,965.56
  5. Step 5: Solve for x
    x = 27,354,965.56/8,675.83
  6. Step 6: Final answer
    x = 3,153.01

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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.