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Finding the Fourth Proportional to 6,496.56, 8,963.08 and 3,663.58

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Solution

The fourth proportional to 6,496.56, 8,963.08 and 3,663.58 is: 5,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.56 : 8,963.08 = 3,663.58 : x
  2. Step 2: Convert to fraction form
    6,496.56/8,963.08 = 3,663.58/x
  3. Step 3: Cross multiply
    6,496.56x = 8,963.08 × 3,663.58
  4. Step 4: Simplify right side
    6,496.56x = 32,836,960.63
  5. Step 5: Solve for x
    x = 32,836,960.63/6,496.56
  6. Step 6: Final answer
    x = 5,054.52

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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.