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Finding the Fourth Proportional to 7,214.52, 10,813.86 and 4,712.62

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Solution

The fourth proportional to 7,214.52, 10,813.86 and 4,712.62 is: 7,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.52 : 10,813.86 = 4,712.62 : x
  2. Step 2: Convert to fraction form
    7,214.52/10,813.86 = 4,712.62/x
  3. Step 3: Cross multiply
    7,214.52x = 10,813.86 × 4,712.62
  4. Step 4: Simplify right side
    7,214.52x = 50,961,612.91
  5. Step 5: Solve for x
    x = 50,961,612.91/7,214.52
  6. Step 6: Final answer
    x = 7,063.76

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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.