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Finding the Fourth Proportional to 11,545.86, 17,317.05 and 3,225

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Solution

The fourth proportional to 11,545.86, 17,317.05 and 3,225 is: 4,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.86 : 17,317.05 = 3,225 : x
  2. Step 2: Convert to fraction form
    11,545.86/17,317.05 = 3,225/x
  3. Step 3: Cross multiply
    11,545.86x = 17,317.05 × 3,225
  4. Step 4: Simplify right side
    11,545.86x = 55,847,486.25
  5. Step 5: Solve for x
    x = 55,847,486.25/11,545.86
  6. Step 6: Final answer
    x = 4,837.01

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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.