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Finding the Fourth Proportional to 7,716.72, 11,577.18 and 2,523

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Solution

The fourth proportional to 7,716.72, 11,577.18 and 2,523 is: 3,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.72 : 11,577.18 = 2,523 : x
  2. Step 2: Convert to fraction form
    7,716.72/11,577.18 = 2,523/x
  3. Step 3: Cross multiply
    7,716.72x = 11,577.18 × 2,523
  4. Step 4: Simplify right side
    7,716.72x = 29,209,225.14
  5. Step 5: Solve for x
    x = 29,209,225.14/7,716.72
  6. Step 6: Final answer
    x = 3,785.19

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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.