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Finding the Fourth Proportional to 7,129.96, 10,682.62 and 5,046.44

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Solution

The fourth proportional to 7,129.96, 10,682.62 and 5,046.44 is: 7,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.96 : 10,682.62 = 5,046.44 : x
  2. Step 2: Convert to fraction form
    7,129.96/10,682.62 = 5,046.44/x
  3. Step 3: Cross multiply
    7,129.96x = 10,682.62 × 5,046.44
  4. Step 4: Simplify right side
    7,129.96x = 53,909,134.84
  5. Step 5: Solve for x
    x = 53,909,134.84/7,129.96
  6. Step 6: Final answer
    x = 7,560.93

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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.