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Finding the Fourth Proportional to 7,411.28, 10,228.80 and 4,266.80

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Solution

The fourth proportional to 7,411.28, 10,228.80 and 4,266.80 is: 5,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.28 : 10,228.80 = 4,266.80 : x
  2. Step 2: Convert to fraction form
    7,411.28/10,228.80 = 4,266.80/x
  3. Step 3: Cross multiply
    7,411.28x = 10,228.80 × 4,266.80
  4. Step 4: Simplify right side
    7,411.28x = 43,644,243.84
  5. Step 5: Solve for x
    x = 43,644,243.84/7,411.28
  6. Step 6: Final answer
    x = 5,888.89

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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.