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Finding the Fourth Proportional to 8,537.62, 11,782.50 and 4,761.70

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Solution

The fourth proportional to 8,537.62, 11,782.50 and 4,761.70 is: 6,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.62 : 11,782.50 = 4,761.70 : x
  2. Step 2: Convert to fraction form
    8,537.62/11,782.50 = 4,761.70/x
  3. Step 3: Cross multiply
    8,537.62x = 11,782.50 × 4,761.70
  4. Step 4: Simplify right side
    8,537.62x = 56,104,730.25
  5. Step 5: Solve for x
    x = 56,104,730.25/8,537.62
  6. Step 6: Final answer
    x = 6,571.47

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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.