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Finding the Fourth Proportional to 11,401.96, 15,722.30 and 7,415.68

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Solution

The fourth proportional to 11,401.96, 15,722.30 and 7,415.68 is: 10,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.96 : 15,722.30 = 7,415.68 : x
  2. Step 2: Convert to fraction form
    11,401.96/15,722.30 = 7,415.68/x
  3. Step 3: Cross multiply
    11,401.96x = 15,722.30 × 7,415.68
  4. Step 4: Simplify right side
    11,401.96x = 116,591,545.66
  5. Step 5: Solve for x
    x = 116,591,545.66/11,401.96
  6. Step 6: Final answer
    x = 10,225.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.