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Finding the Fourth Proportional to 7,944.34, 10,963.68 and 4,587.76

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Solution

The fourth proportional to 7,944.34, 10,963.68 and 4,587.76 is: 6,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.34 : 10,963.68 = 4,587.76 : x
  2. Step 2: Convert to fraction form
    7,944.34/10,963.68 = 4,587.76/x
  3. Step 3: Cross multiply
    7,944.34x = 10,963.68 × 4,587.76
  4. Step 4: Simplify right side
    7,944.34x = 50,298,732.56
  5. Step 5: Solve for x
    x = 50,298,732.56/7,944.34
  6. Step 6: Final answer
    x = 6,331.39

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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.