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Finding the Fourth Proportional to 8,520.72, 12,782.04 and 2,675.76

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Solution

The fourth proportional to 8,520.72, 12,782.04 and 2,675.76 is: 4,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.72 : 12,782.04 = 2,675.76 : x
  2. Step 2: Convert to fraction form
    8,520.72/12,782.04 = 2,675.76/x
  3. Step 3: Cross multiply
    8,520.72x = 12,782.04 × 2,675.76
  4. Step 4: Simplify right side
    8,520.72x = 34,201,671.35
  5. Step 5: Solve for x
    x = 34,201,671.35/8,520.72
  6. Step 6: Final answer
    x = 4,013.94

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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.