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Finding the Fourth Proportional to 8,537.74, 11,782.17 and 4,761.25

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Solution

The fourth proportional to 8,537.74, 11,782.17 and 4,761.25 is: 6,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.74 : 11,782.17 = 4,761.25 : x
  2. Step 2: Convert to fraction form
    8,537.74/11,782.17 = 4,761.25/x
  3. Step 3: Cross multiply
    8,537.74x = 11,782.17 × 4,761.25
  4. Step 4: Simplify right side
    8,537.74x = 56,097,856.91
  5. Step 5: Solve for x
    x = 56,097,856.91/8,537.74
  6. Step 6: Final answer
    x = 6,570.57

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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.