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Finding the Fourth Proportional to 7,817.72, 10,789.32 and 4,461.36

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Solution

The fourth proportional to 7,817.72, 10,789.32 and 4,461.36 is: 6,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.72 : 10,789.32 = 4,461.36 : x
  2. Step 2: Convert to fraction form
    7,817.72/10,789.32 = 4,461.36/x
  3. Step 3: Cross multiply
    7,817.72x = 10,789.32 × 4,461.36
  4. Step 4: Simplify right side
    7,817.72x = 48,135,040.68
  5. Step 5: Solve for x
    x = 48,135,040.68/7,817.72
  6. Step 6: Final answer
    x = 6,157.17

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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.