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Finding the Fourth Proportional to 6,706.84, 10,061.16 and 2,548.39

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Solution

The fourth proportional to 6,706.84, 10,061.16 and 2,548.39 is: 3,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.84 : 10,061.16 = 2,548.39 : x
  2. Step 2: Convert to fraction form
    6,706.84/10,061.16 = 2,548.39/x
  3. Step 3: Cross multiply
    6,706.84x = 10,061.16 × 2,548.39
  4. Step 4: Simplify right side
    6,706.84x = 25,639,759.53
  5. Step 5: Solve for x
    x = 25,639,759.53/6,706.84
  6. Step 6: Final answer
    x = 3,822.93

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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.