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Finding the Fourth Proportional to 10,434.74, 14,399.82 and 5,719.02

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Solution

The fourth proportional to 10,434.74, 14,399.82 and 5,719.02 is: 7,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.74 : 14,399.82 = 5,719.02 : x
  2. Step 2: Convert to fraction form
    10,434.74/14,399.82 = 5,719.02/x
  3. Step 3: Cross multiply
    10,434.74x = 14,399.82 × 5,719.02
  4. Step 4: Simplify right side
    10,434.74x = 82,352,858.58
  5. Step 5: Solve for x
    x = 82,352,858.58/10,434.74
  6. Step 6: Final answer
    x = 7,892.18

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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.