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Finding the Fourth Proportional to 7,214.29, 10,806.25 and 3,693.60

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Solution

The fourth proportional to 7,214.29, 10,806.25 and 3,693.60 is: 5,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.29 : 10,806.25 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    7,214.29/10,806.25 = 3,693.60/x
  3. Step 3: Cross multiply
    7,214.29x = 10,806.25 × 3,693.60
  4. Step 4: Simplify right side
    7,214.29x = 39,913,957.50
  5. Step 5: Solve for x
    x = 39,913,957.50/7,214.29
  6. Step 6: Final answer
    x = 5,532.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.