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Finding the Fourth Proportional to 10,434.82, 14,400.41 and 5,719.10

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Solution

The fourth proportional to 10,434.82, 14,400.41 and 5,719.10 is: 7,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.82 : 14,400.41 = 5,719.10 : x
  2. Step 2: Convert to fraction form
    10,434.82/14,400.41 = 5,719.10/x
  3. Step 3: Cross multiply
    10,434.82x = 14,400.41 × 5,719.10
  4. Step 4: Simplify right side
    10,434.82x = 82,357,356.24
  5. Step 5: Solve for x
    x = 82,357,356.24/10,434.82
  6. Step 6: Final answer
    x = 7,892.56

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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.