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Finding the Fourth Proportional to 10,305.70, 14,222.12 and 5,829.24

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Solution

The fourth proportional to 10,305.70, 14,222.12 and 5,829.24 is: 8,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.70 : 14,222.12 = 5,829.24 : x
  2. Step 2: Convert to fraction form
    10,305.70/14,222.12 = 5,829.24/x
  3. Step 3: Cross multiply
    10,305.70x = 14,222.12 × 5,829.24
  4. Step 4: Simplify right side
    10,305.70x = 82,904,150.79
  5. Step 5: Solve for x
    x = 82,904,150.79/10,305.70
  6. Step 6: Final answer
    x = 8,044.49

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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.