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Finding the Fourth Proportional to 10,195.41, 14,069.58 and 5,719.14

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Solution

The fourth proportional to 10,195.41, 14,069.58 and 5,719.14 is: 7,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.41 : 14,069.58 = 5,719.14 : x
  2. Step 2: Convert to fraction form
    10,195.41/14,069.58 = 5,719.14/x
  3. Step 3: Cross multiply
    10,195.41x = 14,069.58 × 5,719.14
  4. Step 4: Simplify right side
    10,195.41x = 80,465,897.76
  5. Step 5: Solve for x
    x = 80,465,897.76/10,195.41
  6. Step 6: Final answer
    x = 7,892.37

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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.