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Finding the Fourth Proportional to 11,782.52, 16,258.30 and 7,304.64

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Solution

The fourth proportional to 11,782.52, 16,258.30 and 7,304.64 is: 10,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.52 : 16,258.30 = 7,304.64 : x
  2. Step 2: Convert to fraction form
    11,782.52/16,258.30 = 7,304.64/x
  3. Step 3: Cross multiply
    11,782.52x = 16,258.30 × 7,304.64
  4. Step 4: Simplify right side
    11,782.52x = 118,761,028.51
  5. Step 5: Solve for x
    x = 118,761,028.51/11,782.52
  6. Step 6: Final answer
    x = 10,079.43

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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.