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Finding the Fourth Proportional to 6,841.17, 10,260.81 and 2,457.99

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Solution

The fourth proportional to 6,841.17, 10,260.81 and 2,457.99 is: 3,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.17 : 10,260.81 = 2,457.99 : x
  2. Step 2: Convert to fraction form
    6,841.17/10,260.81 = 2,457.99/x
  3. Step 3: Cross multiply
    6,841.17x = 10,260.81 × 2,457.99
  4. Step 4: Simplify right side
    6,841.17x = 25,220,968.37
  5. Step 5: Solve for x
    x = 25,220,968.37/6,841.17
  6. Step 6: Final answer
    x = 3,686.65

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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.