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Finding the Fourth Proportional to 7,920.08, 11,871.12 and 4,016.24

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Solution

The fourth proportional to 7,920.08, 11,871.12 and 4,016.24 is: 6,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.08 : 11,871.12 = 4,016.24 : x
  2. Step 2: Convert to fraction form
    7,920.08/11,871.12 = 4,016.24/x
  3. Step 3: Cross multiply
    7,920.08x = 11,871.12 × 4,016.24
  4. Step 4: Simplify right side
    7,920.08x = 47,677,266.99
  5. Step 5: Solve for x
    x = 47,677,266.99/7,920.08
  6. Step 6: Final answer
    x = 6,019.80

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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.