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Finding the Fourth Proportional to 6,841.26, 10,254.74 and 3,875.99

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Solution

The fourth proportional to 6,841.26, 10,254.74 and 3,875.99 is: 5,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.26 : 10,254.74 = 3,875.99 : x
  2. Step 2: Convert to fraction form
    6,841.26/10,254.74 = 3,875.99/x
  3. Step 3: Cross multiply
    6,841.26x = 10,254.74 × 3,875.99
  4. Step 4: Simplify right side
    6,841.26x = 39,747,199.04
  5. Step 5: Solve for x
    x = 39,747,199.04/6,841.26
  6. Step 6: Final answer
    x = 5,809.92

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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.