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Finding the Fourth Proportional to 7,906.79, 11,866.03 and 3,746.79

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Solution

The fourth proportional to 7,906.79, 11,866.03 and 3,746.79 is: 5,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.79 : 11,866.03 = 3,746.79 : x
  2. Step 2: Convert to fraction form
    7,906.79/11,866.03 = 3,746.79/x
  3. Step 3: Cross multiply
    7,906.79x = 11,866.03 × 3,746.79
  4. Step 4: Simplify right side
    7,906.79x = 44,459,513.18
  5. Step 5: Solve for x
    x = 44,459,513.18/7,906.79
  6. Step 6: Final answer
    x = 5,622.95

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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.