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Finding the Fourth Proportional to 7,706.85, 10,632.60 and 5,695.11

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Solution

The fourth proportional to 7,706.85, 10,632.60 and 5,695.11 is: 7,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.85 : 10,632.60 = 5,695.11 : x
  2. Step 2: Convert to fraction form
    7,706.85/10,632.60 = 5,695.11/x
  3. Step 3: Cross multiply
    7,706.85x = 10,632.60 × 5,695.11
  4. Step 4: Simplify right side
    7,706.85x = 60,553,826.59
  5. Step 5: Solve for x
    x = 60,553,826.59/7,706.85
  6. Step 6: Final answer
    x = 7,857.14

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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.