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Finding the Fourth Proportional to 8,261.76, 11,396.22 and 4,902.36

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Solution

The fourth proportional to 8,261.76, 11,396.22 and 4,902.36 is: 6,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.76 : 11,396.22 = 4,902.36 : x
  2. Step 2: Convert to fraction form
    8,261.76/11,396.22 = 4,902.36/x
  3. Step 3: Cross multiply
    8,261.76x = 11,396.22 × 4,902.36
  4. Step 4: Simplify right side
    8,261.76x = 55,868,373.08
  5. Step 5: Solve for x
    x = 55,868,373.08/8,261.76
  6. Step 6: Final answer
    x = 6,762.28

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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.