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Finding the Fourth Proportional to 7,817.92, 11,713.10 and 4,111.36

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Solution

The fourth proportional to 7,817.92, 11,713.10 and 4,111.36 is: 6,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.92 : 11,713.10 = 4,111.36 : x
  2. Step 2: Convert to fraction form
    7,817.92/11,713.10 = 4,111.36/x
  3. Step 3: Cross multiply
    7,817.92x = 11,713.10 × 4,111.36
  4. Step 4: Simplify right side
    7,817.92x = 48,156,770.82
  5. Step 5: Solve for x
    x = 48,156,770.82/7,817.92
  6. Step 6: Final answer
    x = 6,159.79

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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.