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Finding the Fourth Proportional to 7,804.66, 11,706.87 and 1,961.27

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Solution

The fourth proportional to 7,804.66, 11,706.87 and 1,961.27 is: 2,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.66 : 11,706.87 = 1,961.27 : x
  2. Step 2: Convert to fraction form
    7,804.66/11,706.87 = 1,961.27/x
  3. Step 3: Cross multiply
    7,804.66x = 11,706.87 × 1,961.27
  4. Step 4: Simplify right side
    7,804.66x = 22,960,332.92
  5. Step 5: Solve for x
    x = 22,960,332.92/7,804.66
  6. Step 6: Final answer
    x = 2,941.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.