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Finding the Fourth Proportional to 7,410.78, 10,228.11 and 4,266.30

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Solution

The fourth proportional to 7,410.78, 10,228.11 and 4,266.30 is: 5,888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.78 : 10,228.11 = 4,266.30 : x
  2. Step 2: Convert to fraction form
    7,410.78/10,228.11 = 4,266.30/x
  3. Step 3: Cross multiply
    7,410.78x = 10,228.11 × 4,266.30
  4. Step 4: Simplify right side
    7,410.78x = 43,636,185.69
  5. Step 5: Solve for x
    x = 43,636,185.69/7,410.78
  6. Step 6: Final answer
    x = 5,888.20

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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.