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Finding the Fourth Proportional to 7,478.22, 10,309.17 and 5,233.14

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Solution

The fourth proportional to 7,478.22, 10,309.17 and 5,233.14 is: 7,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.22 : 10,309.17 = 5,233.14 : x
  2. Step 2: Convert to fraction form
    7,478.22/10,309.17 = 5,233.14/x
  3. Step 3: Cross multiply
    7,478.22x = 10,309.17 × 5,233.14
  4. Step 4: Simplify right side
    7,478.22x = 53,949,329.89
  5. Step 5: Solve for x
    x = 53,949,329.89/7,478.22
  6. Step 6: Final answer
    x = 7,214.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.