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Finding the Fourth Proportional to 8,977.51, 12,391.76 and 6,143.82

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Solution

The fourth proportional to 8,977.51, 12,391.76 and 6,143.82 is: 8,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.51 : 12,391.76 = 6,143.82 : x
  2. Step 2: Convert to fraction form
    8,977.51/12,391.76 = 6,143.82/x
  3. Step 3: Cross multiply
    8,977.51x = 12,391.76 × 6,143.82
  4. Step 4: Simplify right side
    8,977.51x = 76,132,742.92
  5. Step 5: Solve for x
    x = 76,132,742.92/8,977.51
  6. Step 6: Final answer
    x = 8,480.39

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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.