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Finding the Fourth Proportional to 10,905.49, 15,046.00 and 6,367.16

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Solution

The fourth proportional to 10,905.49, 15,046.00 and 6,367.16 is: 8,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.49 : 15,046.00 = 6,367.16 : x
  2. Step 2: Convert to fraction form
    10,905.49/15,046.00 = 6,367.16/x
  3. Step 3: Cross multiply
    10,905.49x = 15,046.00 × 6,367.16
  4. Step 4: Simplify right side
    10,905.49x = 95,800,262.24
  5. Step 5: Solve for x
    x = 95,800,262.24/10,905.49
  6. Step 6: Final answer
    x = 8,784.59

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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.