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Finding the Fourth Proportional to 10,434.94, 14,400.21 and 5,719.12

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Solution

The fourth proportional to 10,434.94, 14,400.21 and 5,719.12 is: 7,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.94 : 14,400.21 = 5,719.12 : x
  2. Step 2: Convert to fraction form
    10,434.94/14,400.21 = 5,719.12/x
  3. Step 3: Cross multiply
    10,434.94x = 14,400.21 × 5,719.12
  4. Step 4: Simplify right side
    10,434.94x = 82,356,514.46
  5. Step 5: Solve for x
    x = 82,356,514.46/10,434.94
  6. Step 6: Final answer
    x = 7,892.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.