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Finding the Fourth Proportional to 7,814.34, 11,719.08 and 2,619

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Solution

The fourth proportional to 7,814.34, 11,719.08 and 2,619 is: 3,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.34 : 11,719.08 = 2,619 : x
  2. Step 2: Convert to fraction form
    7,814.34/11,719.08 = 2,619/x
  3. Step 3: Cross multiply
    7,814.34x = 11,719.08 × 2,619
  4. Step 4: Simplify right side
    7,814.34x = 30,692,270.52
  5. Step 5: Solve for x
    x = 30,692,270.52/7,814.34
  6. Step 6: Final answer
    x = 3,927.69

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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.