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Finding the Fourth Proportional to 7,944.34, 10,963.71 and 4,407.94

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Solution

The fourth proportional to 7,944.34, 10,963.71 and 4,407.94 is: 6,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.34 : 10,963.71 = 4,407.94 : x
  2. Step 2: Convert to fraction form
    7,944.34/10,963.71 = 4,407.94/x
  3. Step 3: Cross multiply
    7,944.34x = 10,963.71 × 4,407.94
  4. Step 4: Simplify right side
    7,944.34x = 48,327,375.86
  5. Step 5: Solve for x
    x = 48,327,375.86/7,944.34
  6. Step 6: Final answer
    x = 6,083.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.