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Finding the Fourth Proportional to 7,706.57, 11,504.10 and 6,772.40

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Solution

The fourth proportional to 7,706.57, 11,504.10 and 6,772.40 is: 10,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.57 : 11,504.10 = 6,772.40 : x
  2. Step 2: Convert to fraction form
    7,706.57/11,504.10 = 6,772.40/x
  3. Step 3: Cross multiply
    7,706.57x = 11,504.10 × 6,772.40
  4. Step 4: Simplify right side
    7,706.57x = 77,910,332.98
  5. Step 5: Solve for x
    x = 77,910,332.98/7,706.57
  6. Step 6: Final answer
    x = 10,109.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.