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Finding the Fourth Proportional to 7,572.08, 10,449.39 and 4,214.84

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Solution

The fourth proportional to 7,572.08, 10,449.39 and 4,214.84 is: 5,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.08 : 10,449.39 = 4,214.84 : x
  2. Step 2: Convert to fraction form
    7,572.08/10,449.39 = 4,214.84/x
  3. Step 3: Cross multiply
    7,572.08x = 10,449.39 × 4,214.84
  4. Step 4: Simplify right side
    7,572.08x = 44,042,433.63
  5. Step 5: Solve for x
    x = 44,042,433.63/7,572.08
  6. Step 6: Final answer
    x = 5,816.43

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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.