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Finding the Fourth Proportional to 7,643.88, 10,554.96 and 5,752.20

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Solution

The fourth proportional to 7,643.88, 10,554.96 and 5,752.20 is: 7,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.88 : 10,554.96 = 5,752.20 : x
  2. Step 2: Convert to fraction form
    7,643.88/10,554.96 = 5,752.20/x
  3. Step 3: Cross multiply
    7,643.88x = 10,554.96 × 5,752.20
  4. Step 4: Simplify right side
    7,643.88x = 60,714,240.91
  5. Step 5: Solve for x
    x = 60,714,240.91/7,643.88
  6. Step 6: Final answer
    x = 7,942.86

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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.