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Finding the Fourth Proportional to 11,336, 15,644.64 and 6,368.96

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Solution

The fourth proportional to 11,336, 15,644.64 and 6,368.96 is: 8,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336 : 15,644.64 = 6,368.96 : x
  2. Step 2: Convert to fraction form
    11,336/15,644.64 = 6,368.96/x
  3. Step 3: Cross multiply
    11,336x = 15,644.64 × 6,368.96
  4. Step 4: Simplify right side
    11,336x = 99,640,086.37
  5. Step 5: Solve for x
    x = 99,640,086.37/11,336
  6. Step 6: Final answer
    x = 8,789.70

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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.