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Finding the Fourth Proportional to 7,737.32, 11,598.80 and 2,805.64

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Solution

The fourth proportional to 7,737.32, 11,598.80 and 2,805.64 is: 4,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.32 : 11,598.80 = 2,805.64 : x
  2. Step 2: Convert to fraction form
    7,737.32/11,598.80 = 2,805.64/x
  3. Step 3: Cross multiply
    7,737.32x = 11,598.80 × 2,805.64
  4. Step 4: Simplify right side
    7,737.32x = 32,542,014.21
  5. Step 5: Solve for x
    x = 32,542,014.21/7,737.32
  6. Step 6: Final answer
    x = 4,205.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.