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Finding the Fourth Proportional to 7,944.63, 10,962.84 and 4,407.63

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Solution

The fourth proportional to 7,944.63, 10,962.84 and 4,407.63 is: 6,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.63 : 10,962.84 = 4,407.63 : x
  2. Step 2: Convert to fraction form
    7,944.63/10,962.84 = 4,407.63/x
  3. Step 3: Cross multiply
    7,944.63x = 10,962.84 × 4,407.63
  4. Step 4: Simplify right side
    7,944.63x = 48,320,142.47
  5. Step 5: Solve for x
    x = 48,320,142.47/7,944.63
  6. Step 6: Final answer
    x = 6,082.11

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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.