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Finding the Fourth Proportional to 7,107.51, 9,808.38 and 3,963.90

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Solution

The fourth proportional to 7,107.51, 9,808.38 and 3,963.90 is: 5,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.51 : 9,808.38 = 3,963.90 : x
  2. Step 2: Convert to fraction form
    7,107.51/9,808.38 = 3,963.90/x
  3. Step 3: Cross multiply
    7,107.51x = 9,808.38 × 3,963.90
  4. Step 4: Simplify right side
    7,107.51x = 38,879,437.48
  5. Step 5: Solve for x
    x = 38,879,437.48/7,107.51
  6. Step 6: Final answer
    x = 5,470.19

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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.