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Finding the Fourth Proportional to 7,714.31, 10,645.74 and 4,356.97

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Solution

The fourth proportional to 7,714.31, 10,645.74 and 4,356.97 is: 6,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.31 : 10,645.74 = 4,356.97 : x
  2. Step 2: Convert to fraction form
    7,714.31/10,645.74 = 4,356.97/x
  3. Step 3: Cross multiply
    7,714.31x = 10,645.74 × 4,356.97
  4. Step 4: Simplify right side
    7,714.31x = 46,383,143.19
  5. Step 5: Solve for x
    x = 46,383,143.19/7,714.31
  6. Step 6: Final answer
    x = 6,012.61

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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.