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Finding the Fourth Proportional to 7,401.48, 10,214.04 and 4,214.61

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Solution

The fourth proportional to 7,401.48, 10,214.04 and 4,214.61 is: 5,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.48 : 10,214.04 = 4,214.61 : x
  2. Step 2: Convert to fraction form
    7,401.48/10,214.04 = 4,214.61/x
  3. Step 3: Cross multiply
    7,401.48x = 10,214.04 × 4,214.61
  4. Step 4: Simplify right side
    7,401.48x = 43,048,174.05
  5. Step 5: Solve for x
    x = 43,048,174.05/7,401.48
  6. Step 6: Final answer
    x = 5,816.16

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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.