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Finding the Fourth Proportional to 7,706.30, 10,631.85 and 5,055.17

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Solution

The fourth proportional to 7,706.30, 10,631.85 and 5,055.17 is: 6,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.30 : 10,631.85 = 5,055.17 : x
  2. Step 2: Convert to fraction form
    7,706.30/10,631.85 = 5,055.17/x
  3. Step 3: Cross multiply
    7,706.30x = 10,631.85 × 5,055.17
  4. Step 4: Simplify right side
    7,706.30x = 53,745,809.16
  5. Step 5: Solve for x
    x = 53,745,809.16/7,706.30
  6. Step 6: Final answer
    x = 6,974.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.