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Finding the Fourth Proportional to 7,576, 10,455.04 and 4,264

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Solution

The fourth proportional to 7,576, 10,455.04 and 4,264 is: 5,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 10,455.04 = 4,264 : x
  2. Step 2: Convert to fraction form
    7,576/10,455.04 = 4,264/x
  3. Step 3: Cross multiply
    7,576x = 10,455.04 × 4,264
  4. Step 4: Simplify right side
    7,576x = 44,580,290.56
  5. Step 5: Solve for x
    x = 44,580,290.56/7,576
  6. Step 6: Final answer
    x = 5,884.41

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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.