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Finding the Fourth Proportional to 7,767.25, 11,642.74 and 3,383.53

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Solution

The fourth proportional to 7,767.25, 11,642.74 and 3,383.53 is: 5,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.25 : 11,642.74 = 3,383.53 : x
  2. Step 2: Convert to fraction form
    7,767.25/11,642.74 = 3,383.53/x
  3. Step 3: Cross multiply
    7,767.25x = 11,642.74 × 3,383.53
  4. Step 4: Simplify right side
    7,767.25x = 39,393,522.51
  5. Step 5: Solve for x
    x = 39,393,522.51/7,767.25
  6. Step 6: Final answer
    x = 5,071.75

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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.