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Finding the Fourth Proportional to 7,108.38, 9,807.90 and 4,274.82

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Solution

The fourth proportional to 7,108.38, 9,807.90 and 4,274.82 is: 5,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.38 : 9,807.90 = 4,274.82 : x
  2. Step 2: Convert to fraction form
    7,108.38/9,807.90 = 4,274.82/x
  3. Step 3: Cross multiply
    7,108.38x = 9,807.90 × 4,274.82
  4. Step 4: Simplify right side
    7,108.38x = 41,927,007.08
  5. Step 5: Solve for x
    x = 41,927,007.08/7,108.38
  6. Step 6: Final answer
    x = 5,898.25

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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.