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Finding the Fourth Proportional to 7,719.84, 11,577.33 and 2,524.50

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Solution

The fourth proportional to 7,719.84, 11,577.33 and 2,524.50 is: 3,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.84 : 11,577.33 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    7,719.84/11,577.33 = 2,524.50/x
  3. Step 3: Cross multiply
    7,719.84x = 11,577.33 × 2,524.50
  4. Step 4: Simplify right side
    7,719.84x = 29,226,969.59
  5. Step 5: Solve for x
    x = 29,226,969.59/7,719.84
  6. Step 6: Final answer
    x = 3,785.96

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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.