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Finding the Fourth Proportional to 7,605.89, 11,401.07 and 5,140.96

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Solution

The fourth proportional to 7,605.89, 11,401.07 and 5,140.96 is: 7,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.89 : 11,401.07 = 5,140.96 : x
  2. Step 2: Convert to fraction form
    7,605.89/11,401.07 = 5,140.96/x
  3. Step 3: Cross multiply
    7,605.89x = 11,401.07 × 5,140.96
  4. Step 4: Simplify right side
    7,605.89x = 58,612,419.12
  5. Step 5: Solve for x
    x = 58,612,419.12/7,605.89
  6. Step 6: Final answer
    x = 7,706.19

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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.