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Finding the Fourth Proportional to 10,148.22, 14,004.49 and 5,671.97

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Solution

The fourth proportional to 10,148.22, 14,004.49 and 5,671.97 is: 7,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.22 : 14,004.49 = 5,671.97 : x
  2. Step 2: Convert to fraction form
    10,148.22/14,004.49 = 5,671.97/x
  3. Step 3: Cross multiply
    10,148.22x = 14,004.49 × 5,671.97
  4. Step 4: Simplify right side
    10,148.22x = 79,433,047.15
  5. Step 5: Solve for x
    x = 79,433,047.15/10,148.22
  6. Step 6: Final answer
    x = 7,827.29

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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.