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Finding the Fourth Proportional to 6,533.80, 9,016.56 and 3,701.16

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Solution

The fourth proportional to 6,533.80, 9,016.56 and 3,701.16 is: 5,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.80 : 9,016.56 = 3,701.16 : x
  2. Step 2: Convert to fraction form
    6,533.80/9,016.56 = 3,701.16/x
  3. Step 3: Cross multiply
    6,533.80x = 9,016.56 × 3,701.16
  4. Step 4: Simplify right side
    6,533.80x = 33,371,731.21
  5. Step 5: Solve for x
    x = 33,371,731.21/6,533.80
  6. Step 6: Final answer
    x = 5,107.55

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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.