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Finding the Fourth Proportional to 8,280, 11,425.20 and 4,921.56

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Solution

The fourth proportional to 8,280, 11,425.20 and 4,921.56 is: 6,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280 : 11,425.20 = 4,921.56 : x
  2. Step 2: Convert to fraction form
    8,280/11,425.20 = 4,921.56/x
  3. Step 3: Cross multiply
    8,280x = 11,425.20 × 4,921.56
  4. Step 4: Simplify right side
    8,280x = 56,229,807.31
  5. Step 5: Solve for x
    x = 56,229,807.31/8,280
  6. Step 6: Final answer
    x = 6,791.04

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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.