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Finding the Fourth Proportional to 10,195.40, 14,070.69 and 5,719.14

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Solution

The fourth proportional to 10,195.40, 14,070.69 and 5,719.14 is: 7,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.40 : 14,070.69 = 5,719.14 : x
  2. Step 2: Convert to fraction form
    10,195.40/14,070.69 = 5,719.14/x
  3. Step 3: Cross multiply
    10,195.40x = 14,070.69 × 5,719.14
  4. Step 4: Simplify right side
    10,195.40x = 80,472,246.01
  5. Step 5: Solve for x
    x = 80,472,246.01/10,195.40
  6. Step 6: Final answer
    x = 7,892.99

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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.