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Finding the Fourth Proportional to 7,412.91, 10,230.80 and 4,227.36

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Solution

The fourth proportional to 7,412.91, 10,230.80 and 4,227.36 is: 5,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.91 : 10,230.80 = 4,227.36 : x
  2. Step 2: Convert to fraction form
    7,412.91/10,230.80 = 4,227.36/x
  3. Step 3: Cross multiply
    7,412.91x = 10,230.80 × 4,227.36
  4. Step 4: Simplify right side
    7,412.91x = 43,249,253.55
  5. Step 5: Solve for x
    x = 43,249,253.55/7,412.91
  6. Step 6: Final answer
    x = 5,834.32

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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.