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Finding the Fourth Proportional to 7,002.27, 10,506.63 and 2,845.14

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Solution

The fourth proportional to 7,002.27, 10,506.63 and 2,845.14 is: 4,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.27 : 10,506.63 = 2,845.14 : x
  2. Step 2: Convert to fraction form
    7,002.27/10,506.63 = 2,845.14/x
  3. Step 3: Cross multiply
    7,002.27x = 10,506.63 × 2,845.14
  4. Step 4: Simplify right side
    7,002.27x = 29,892,833.28
  5. Step 5: Solve for x
    x = 29,892,833.28/7,002.27
  6. Step 6: Final answer
    x = 4,269.02

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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.