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Finding the Fourth Proportional to 8,261.75, 11,397.48 and 4,904.70

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Solution

The fourth proportional to 8,261.75, 11,397.48 and 4,904.70 is: 6,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.75 : 11,397.48 = 4,904.70 : x
  2. Step 2: Convert to fraction form
    8,261.75/11,397.48 = 4,904.70/x
  3. Step 3: Cross multiply
    8,261.75x = 11,397.48 × 4,904.70
  4. Step 4: Simplify right side
    8,261.75x = 55,901,220.16
  5. Step 5: Solve for x
    x = 55,901,220.16/8,261.75
  6. Step 6: Final answer
    x = 6,766.27

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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.