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Finding the Fourth Proportional to 7,462.12, 10,297.50 and 4,104.93

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Solution

The fourth proportional to 7,462.12, 10,297.50 and 4,104.93 is: 5,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.12 : 10,297.50 = 4,104.93 : x
  2. Step 2: Convert to fraction form
    7,462.12/10,297.50 = 4,104.93/x
  3. Step 3: Cross multiply
    7,462.12x = 10,297.50 × 4,104.93
  4. Step 4: Simplify right side
    7,462.12x = 42,270,516.68
  5. Step 5: Solve for x
    x = 42,270,516.68/7,462.12
  6. Step 6: Final answer
    x = 5,664.68

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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.