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Finding the Fourth Proportional to 7,832.77, 10,809.05 and 4,475.59

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Solution

The fourth proportional to 7,832.77, 10,809.05 and 4,475.59 is: 6,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.77 : 10,809.05 = 4,475.59 : x
  2. Step 2: Convert to fraction form
    7,832.77/10,809.05 = 4,475.59/x
  3. Step 3: Cross multiply
    7,832.77x = 10,809.05 × 4,475.59
  4. Step 4: Simplify right side
    7,832.77x = 48,376,826.69
  5. Step 5: Solve for x
    x = 48,376,826.69/7,832.77
  6. Step 6: Final answer
    x = 6,176.21

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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.