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Finding the Fourth Proportional to 7,577.16, 10,453.92 and 4,591.80

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Solution

The fourth proportional to 7,577.16, 10,453.92 and 4,591.80 is: 6,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.16 : 10,453.92 = 4,591.80 : x
  2. Step 2: Convert to fraction form
    7,577.16/10,453.92 = 4,591.80/x
  3. Step 3: Cross multiply
    7,577.16x = 10,453.92 × 4,591.80
  4. Step 4: Simplify right side
    7,577.16x = 48,002,309.86
  5. Step 5: Solve for x
    x = 48,002,309.86/7,577.16
  6. Step 6: Final answer
    x = 6,335.13

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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.