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Finding the Fourth Proportional to 8,287.36, 11,429.76 and 6,046.72

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Solution

The fourth proportional to 8,287.36, 11,429.76 and 6,046.72 is: 8,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.36 : 11,429.76 = 6,046.72 : x
  2. Step 2: Convert to fraction form
    8,287.36/11,429.76 = 6,046.72/x
  3. Step 3: Cross multiply
    8,287.36x = 11,429.76 × 6,046.72
  4. Step 4: Simplify right side
    8,287.36x = 69,112,558.39
  5. Step 5: Solve for x
    x = 69,112,558.39/8,287.36
  6. Step 6: Final answer
    x = 8,339.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.