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Finding the Fourth Proportional to 7,052.82, 10,575.81 and 4,132.14

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Solution

The fourth proportional to 7,052.82, 10,575.81 and 4,132.14 is: 6,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.82 : 10,575.81 = 4,132.14 : x
  2. Step 2: Convert to fraction form
    7,052.82/10,575.81 = 4,132.14/x
  3. Step 3: Cross multiply
    7,052.82x = 10,575.81 × 4,132.14
  4. Step 4: Simplify right side
    7,052.82x = 43,700,727.53
  5. Step 5: Solve for x
    x = 43,700,727.53/7,052.82
  6. Step 6: Final answer
    x = 6,196.21

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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.