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Finding the Fourth Proportional to 7,872.06, 11,785.05 and 4,773.18

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Solution

The fourth proportional to 7,872.06, 11,785.05 and 4,773.18 is: 7,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.06 : 11,785.05 = 4,773.18 : x
  2. Step 2: Convert to fraction form
    7,872.06/11,785.05 = 4,773.18/x
  3. Step 3: Cross multiply
    7,872.06x = 11,785.05 × 4,773.18
  4. Step 4: Simplify right side
    7,872.06x = 56,252,164.96
  5. Step 5: Solve for x
    x = 56,252,164.96/7,872.06
  6. Step 6: Final answer
    x = 7,145.80

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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.