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Finding the Fourth Proportional to 10,195.34, 14,069.34 and 5,719

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Solution

The fourth proportional to 10,195.34, 14,069.34 and 5,719 is: 7,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.34 : 14,069.34 = 5,719 : x
  2. Step 2: Convert to fraction form
    10,195.34/14,069.34 = 5,719/x
  3. Step 3: Cross multiply
    10,195.34x = 14,069.34 × 5,719
  4. Step 4: Simplify right side
    10,195.34x = 80,462,555.46
  5. Step 5: Solve for x
    x = 80,462,555.46/10,195.34
  6. Step 6: Final answer
    x = 7,892.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.