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Finding the Fourth Proportional to 11,420.56, 15,761.52 and 6,641.96

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Solution

The fourth proportional to 11,420.56, 15,761.52 and 6,641.96 is: 9,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.56 : 15,761.52 = 6,641.96 : x
  2. Step 2: Convert to fraction form
    11,420.56/15,761.52 = 6,641.96/x
  3. Step 3: Cross multiply
    11,420.56x = 15,761.52 × 6,641.96
  4. Step 4: Simplify right side
    11,420.56x = 104,687,385.38
  5. Step 5: Solve for x
    x = 104,687,385.38/11,420.56
  6. Step 6: Final answer
    x = 9,166.57

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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.