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Finding the Fourth Proportional to 10,434.91, 14,400.42 and 5,719.22

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Solution

The fourth proportional to 10,434.91, 14,400.42 and 5,719.22 is: 7,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.91 : 14,400.42 = 5,719.22 : x
  2. Step 2: Convert to fraction form
    10,434.91/14,400.42 = 5,719.22/x
  3. Step 3: Cross multiply
    10,434.91x = 14,400.42 × 5,719.22
  4. Step 4: Simplify right side
    10,434.91x = 82,359,170.07
  5. Step 5: Solve for x
    x = 82,359,170.07/10,434.91
  6. Step 6: Final answer
    x = 7,892.66

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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.