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Finding the Fourth Proportional to 7,748.54, 10,691.21 and 4,390.58

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Solution

The fourth proportional to 7,748.54, 10,691.21 and 4,390.58 is: 6,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.54 : 10,691.21 = 4,390.58 : x
  2. Step 2: Convert to fraction form
    7,748.54/10,691.21 = 4,390.58/x
  3. Step 3: Cross multiply
    7,748.54x = 10,691.21 × 4,390.58
  4. Step 4: Simplify right side
    7,748.54x = 46,940,537.39
  5. Step 5: Solve for x
    x = 46,940,537.39/7,748.54
  6. Step 6: Final answer
    x = 6,057.99

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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.