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Finding the Fourth Proportional to 6,758.07, 10,142.24 and 4,417.44

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Solution

The fourth proportional to 6,758.07, 10,142.24 and 4,417.44 is: 6,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.07 : 10,142.24 = 4,417.44 : x
  2. Step 2: Convert to fraction form
    6,758.07/10,142.24 = 4,417.44/x
  3. Step 3: Cross multiply
    6,758.07x = 10,142.24 × 4,417.44
  4. Step 4: Simplify right side
    6,758.07x = 44,802,714.58
  5. Step 5: Solve for x
    x = 44,802,714.58/6,758.07
  6. Step 6: Final answer
    x = 6,629.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.