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Finding the Fourth Proportional to 7,808.92, 11,715.02 and 4,109.12

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Solution

The fourth proportional to 7,808.92, 11,715.02 and 4,109.12 is: 6,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.92 : 11,715.02 = 4,109.12 : x
  2. Step 2: Convert to fraction form
    7,808.92/11,715.02 = 4,109.12/x
  3. Step 3: Cross multiply
    7,808.92x = 11,715.02 × 4,109.12
  4. Step 4: Simplify right side
    7,808.92x = 48,138,422.98
  5. Step 5: Solve for x
    x = 48,138,422.98/7,808.92
  6. Step 6: Final answer
    x = 6,164.54

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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.