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Finding the Fourth Proportional to 6,706.04, 10,099.20 and 6,107.49

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Solution

The fourth proportional to 6,706.04, 10,099.20 and 6,107.49 is: 9,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.04 : 10,099.20 = 6,107.49 : x
  2. Step 2: Convert to fraction form
    6,706.04/10,099.20 = 6,107.49/x
  3. Step 3: Cross multiply
    6,706.04x = 10,099.20 × 6,107.49
  4. Step 4: Simplify right side
    6,706.04x = 61,680,763.01
  5. Step 5: Solve for x
    x = 61,680,763.01/6,706.04
  6. Step 6: Final answer
    x = 9,197.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.