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Finding the Fourth Proportional to 8,470.56, 11,690.67 and 5,284.38

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Solution

The fourth proportional to 8,470.56, 11,690.67 and 5,284.38 is: 7,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.56 : 11,690.67 = 5,284.38 : x
  2. Step 2: Convert to fraction form
    8,470.56/11,690.67 = 5,284.38/x
  3. Step 3: Cross multiply
    8,470.56x = 11,690.67 × 5,284.38
  4. Step 4: Simplify right side
    8,470.56x = 61,777,942.73
  5. Step 5: Solve for x
    x = 61,777,942.73/8,470.56
  6. Step 6: Final answer
    x = 7,293.25

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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.