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Finding the Fourth Proportional to 7,577.66, 11,369.23 and 3,881.63

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Solution

The fourth proportional to 7,577.66, 11,369.23 and 3,881.63 is: 5,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.66 : 11,369.23 = 3,881.63 : x
  2. Step 2: Convert to fraction form
    7,577.66/11,369.23 = 3,881.63/x
  3. Step 3: Cross multiply
    7,577.66x = 11,369.23 × 3,881.63
  4. Step 4: Simplify right side
    7,577.66x = 44,131,144.24
  5. Step 5: Solve for x
    x = 44,131,144.24/7,577.66
  6. Step 6: Final answer
    x = 5,823.85

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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.