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Finding the Fourth Proportional to 7,715.66, 11,579.70 and 4,019

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Solution

The fourth proportional to 7,715.66, 11,579.70 and 4,019 is: 6,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.66 : 11,579.70 = 4,019 : x
  2. Step 2: Convert to fraction form
    7,715.66/11,579.70 = 4,019/x
  3. Step 3: Cross multiply
    7,715.66x = 11,579.70 × 4,019
  4. Step 4: Simplify right side
    7,715.66x = 46,538,814.30
  5. Step 5: Solve for x
    x = 46,538,814.30/7,715.66
  6. Step 6: Final answer
    x = 6,031.73

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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.