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Finding the Fourth Proportional to 6,817.59, 10,224.86 and 2,657.71

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Solution

The fourth proportional to 6,817.59, 10,224.86 and 2,657.71 is: 3,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.59 : 10,224.86 = 2,657.71 : x
  2. Step 2: Convert to fraction form
    6,817.59/10,224.86 = 2,657.71/x
  3. Step 3: Cross multiply
    6,817.59x = 10,224.86 × 2,657.71
  4. Step 4: Simplify right side
    6,817.59x = 27,174,712.67
  5. Step 5: Solve for x
    x = 27,174,712.67/6,817.59
  6. Step 6: Final answer
    x = 3,985.97

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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.