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Finding the Fourth Proportional to 10,417.72, 14,371.82 and 6,223.48

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Solution

The fourth proportional to 10,417.72, 14,371.82 and 6,223.48 is: 8,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.72 : 14,371.82 = 6,223.48 : x
  2. Step 2: Convert to fraction form
    10,417.72/14,371.82 = 6,223.48/x
  3. Step 3: Cross multiply
    10,417.72x = 14,371.82 × 6,223.48
  4. Step 4: Simplify right side
    10,417.72x = 89,442,734.33
  5. Step 5: Solve for x
    x = 89,442,734.33/10,417.72
  6. Step 6: Final answer
    x = 8,585.63

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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.