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Finding the Fourth Proportional to 10,435.31, 14,400.73 and 5,719.49

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Solution

The fourth proportional to 10,435.31, 14,400.73 and 5,719.49 is: 7,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.31 : 14,400.73 = 5,719.49 : x
  2. Step 2: Convert to fraction form
    10,435.31/14,400.73 = 5,719.49/x
  3. Step 3: Cross multiply
    10,435.31x = 14,400.73 × 5,719.49
  4. Step 4: Simplify right side
    10,435.31x = 82,364,874.38
  5. Step 5: Solve for x
    x = 82,364,874.38/10,435.31
  6. Step 6: Final answer
    x = 7,892.90

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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.