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Finding the Fourth Proportional to 6,735.66, 10,107.59 and 2,840.06

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Solution

The fourth proportional to 6,735.66, 10,107.59 and 2,840.06 is: 4,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.66 : 10,107.59 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    6,735.66/10,107.59 = 2,840.06/x
  3. Step 3: Cross multiply
    6,735.66x = 10,107.59 × 2,840.06
  4. Step 4: Simplify right side
    6,735.66x = 28,706,173.12
  5. Step 5: Solve for x
    x = 28,706,173.12/6,735.66
  6. Step 6: Final answer
    x = 4,261.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.