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Finding the Fourth Proportional to 8,657.89, 12,987.74 and 2,813.13

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Solution

The fourth proportional to 8,657.89, 12,987.74 and 2,813.13 is: 4,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.89 : 12,987.74 = 2,813.13 : x
  2. Step 2: Convert to fraction form
    8,657.89/12,987.74 = 2,813.13/x
  3. Step 3: Cross multiply
    8,657.89x = 12,987.74 × 2,813.13
  4. Step 4: Simplify right side
    8,657.89x = 36,536,208.06
  5. Step 5: Solve for x
    x = 36,536,208.06/8,657.89
  6. Step 6: Final answer
    x = 4,219.99

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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.