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Finding the Fourth Proportional to 8,488.26, 11,714.81 and 4,762.82

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Solution

The fourth proportional to 8,488.26, 11,714.81 and 4,762.82 is: 6,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.26 : 11,714.81 = 4,762.82 : x
  2. Step 2: Convert to fraction form
    8,488.26/11,714.81 = 4,762.82/x
  3. Step 3: Cross multiply
    8,488.26x = 11,714.81 × 4,762.82
  4. Step 4: Simplify right side
    8,488.26x = 55,795,531.36
  5. Step 5: Solve for x
    x = 55,795,531.36/8,488.26
  6. Step 6: Final answer
    x = 6,573.26

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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.