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Finding the Fourth Proportional to 11,920.72, 17,885.96 and 5,345.16

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Solution

The fourth proportional to 11,920.72, 17,885.96 and 5,345.16 is: 8,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.72 : 17,885.96 = 5,345.16 : x
  2. Step 2: Convert to fraction form
    11,920.72/17,885.96 = 5,345.16/x
  3. Step 3: Cross multiply
    11,920.72x = 17,885.96 × 5,345.16
  4. Step 4: Simplify right side
    11,920.72x = 95,603,317.95
  5. Step 5: Solve for x
    x = 95,603,317.95/11,920.72
  6. Step 6: Final answer
    x = 8,019.93

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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.