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Finding the Fourth Proportional to 7,107.65, 9,811.01 and 4,276.61

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Solution

The fourth proportional to 7,107.65, 9,811.01 and 4,276.61 is: 5,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.65 : 9,811.01 = 4,276.61 : x
  2. Step 2: Convert to fraction form
    7,107.65/9,811.01 = 4,276.61/x
  3. Step 3: Cross multiply
    7,107.65x = 9,811.01 × 4,276.61
  4. Step 4: Simplify right side
    7,107.65x = 41,957,842.09
  5. Step 5: Solve for x
    x = 41,957,842.09/7,107.65
  6. Step 6: Final answer
    x = 5,903.19

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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.