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Finding the Fourth Proportional to 7,715.64, 11,574.27 and 2,522.46

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Solution

The fourth proportional to 7,715.64, 11,574.27 and 2,522.46 is: 3,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.64 : 11,574.27 = 2,522.46 : x
  2. Step 2: Convert to fraction form
    7,715.64/11,574.27 = 2,522.46/x
  3. Step 3: Cross multiply
    7,715.64x = 11,574.27 × 2,522.46
  4. Step 4: Simplify right side
    7,715.64x = 29,195,633.10
  5. Step 5: Solve for x
    x = 29,195,633.10/7,715.64
  6. Step 6: Final answer
    x = 3,783.95

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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.