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Finding the Fourth Proportional to 11,640.51, 17,464.01 and 3,854.79

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Solution

The fourth proportional to 11,640.51, 17,464.01 and 3,854.79 is: 5,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.51 : 17,464.01 = 3,854.79 : x
  2. Step 2: Convert to fraction form
    11,640.51/17,464.01 = 3,854.79/x
  3. Step 3: Cross multiply
    11,640.51x = 17,464.01 × 3,854.79
  4. Step 4: Simplify right side
    11,640.51x = 67,320,071.83
  5. Step 5: Solve for x
    x = 67,320,071.83/11,640.51
  6. Step 6: Final answer
    x = 5,783.26

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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.