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Finding the Fourth Proportional to 7,671.51, 10,587.24 and 4,687.91

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Solution

The fourth proportional to 7,671.51, 10,587.24 and 4,687.91 is: 6,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.51 : 10,587.24 = 4,687.91 : x
  2. Step 2: Convert to fraction form
    7,671.51/10,587.24 = 4,687.91/x
  3. Step 3: Cross multiply
    7,671.51x = 10,587.24 × 4,687.91
  4. Step 4: Simplify right side
    7,671.51x = 49,632,028.27
  5. Step 5: Solve for x
    x = 49,632,028.27/7,671.51
  6. Step 6: Final answer
    x = 6,469.66

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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.