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Finding the Fourth Proportional to 7,402.77, 10,215.42 and 4,215.55

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Solution

The fourth proportional to 7,402.77, 10,215.42 and 4,215.55 is: 5,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.77 : 10,215.42 = 4,215.55 : x
  2. Step 2: Convert to fraction form
    7,402.77/10,215.42 = 4,215.55/x
  3. Step 3: Cross multiply
    7,402.77x = 10,215.42 × 4,215.55
  4. Step 4: Simplify right side
    7,402.77x = 43,063,613.78
  5. Step 5: Solve for x
    x = 43,063,613.78/7,402.77
  6. Step 6: Final answer
    x = 5,817.23

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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.