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Finding the Fourth Proportional to 7,410.90, 10,216.41 and 4,576.38

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Solution

The fourth proportional to 7,410.90, 10,216.41 and 4,576.38 is: 6,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.90 : 10,216.41 = 4,576.38 : x
  2. Step 2: Convert to fraction form
    7,410.90/10,216.41 = 4,576.38/x
  3. Step 3: Cross multiply
    7,410.90x = 10,216.41 × 4,576.38
  4. Step 4: Simplify right side
    7,410.90x = 46,754,174.40
  5. Step 5: Solve for x
    x = 46,754,174.40/7,410.90
  6. Step 6: Final answer
    x = 6,308.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.