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Finding the Fourth Proportional to 8,443.44, 11,653.47 and 4,906.17

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Solution

The fourth proportional to 8,443.44, 11,653.47 and 4,906.17 is: 6,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.44 : 11,653.47 = 4,906.17 : x
  2. Step 2: Convert to fraction form
    8,443.44/11,653.47 = 4,906.17/x
  3. Step 3: Cross multiply
    8,443.44x = 11,653.47 × 4,906.17
  4. Step 4: Simplify right side
    8,443.44x = 57,173,904.91
  5. Step 5: Solve for x
    x = 57,173,904.91/8,443.44
  6. Step 6: Final answer
    x = 6,771.40

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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.