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Finding the Fourth Proportional to 8,470.38, 11,690.01 and 5,240.64

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Solution

The fourth proportional to 8,470.38, 11,690.01 and 5,240.64 is: 7,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.38 : 11,690.01 = 5,240.64 : x
  2. Step 2: Convert to fraction form
    8,470.38/11,690.01 = 5,240.64/x
  3. Step 3: Cross multiply
    8,470.38x = 11,690.01 × 5,240.64
  4. Step 4: Simplify right side
    8,470.38x = 61,263,134.01
  5. Step 5: Solve for x
    x = 61,263,134.01/8,470.38
  6. Step 6: Final answer
    x = 7,232.63

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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.