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Finding the Fourth Proportional to 7,709.83, 10,640.51 and 4,352.79

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Solution

The fourth proportional to 7,709.83, 10,640.51 and 4,352.79 is: 6,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.83 : 10,640.51 = 4,352.79 : x
  2. Step 2: Convert to fraction form
    7,709.83/10,640.51 = 4,352.79/x
  3. Step 3: Cross multiply
    7,709.83x = 10,640.51 × 4,352.79
  4. Step 4: Simplify right side
    7,709.83x = 46,315,904.62
  5. Step 5: Solve for x
    x = 46,315,904.62/7,709.83
  6. Step 6: Final answer
    x = 6,007.38

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Why These Related Problems?

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