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Finding the Fourth Proportional to 7,817.56, 10,785.42 and 4,832.44

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Solution

The fourth proportional to 7,817.56, 10,785.42 and 4,832.44 is: 6,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.56 : 10,785.42 = 4,832.44 : x
  2. Step 2: Convert to fraction form
    7,817.56/10,785.42 = 4,832.44/x
  3. Step 3: Cross multiply
    7,817.56x = 10,785.42 × 4,832.44
  4. Step 4: Simplify right side
    7,817.56x = 52,119,895.02
  5. Step 5: Solve for x
    x = 52,119,895.02/7,817.56
  6. Step 6: Final answer
    x = 6,667.03

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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.