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Finding the Fourth Proportional to 8,305.70, 11,456.62 and 4,946

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Solution

The fourth proportional to 8,305.70, 11,456.62 and 4,946 is: 6,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.70 : 11,456.62 = 4,946 : x
  2. Step 2: Convert to fraction form
    8,305.70/11,456.62 = 4,946/x
  3. Step 3: Cross multiply
    8,305.70x = 11,456.62 × 4,946
  4. Step 4: Simplify right side
    8,305.70x = 56,664,442.52
  5. Step 5: Solve for x
    x = 56,664,442.52/8,305.70
  6. Step 6: Final answer
    x = 6,822.36

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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.