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Finding the Fourth Proportional to 11,789.90, 16,268.49 and 7,312.04

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Solution

The fourth proportional to 11,789.90, 16,268.49 and 7,312.04 is: 10,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.90 : 16,268.49 = 7,312.04 : x
  2. Step 2: Convert to fraction form
    11,789.90/16,268.49 = 7,312.04/x
  3. Step 3: Cross multiply
    11,789.90x = 16,268.49 × 7,312.04
  4. Step 4: Simplify right side
    11,789.90x = 118,955,768.28
  5. Step 5: Solve for x
    x = 118,955,768.28/11,789.90
  6. Step 6: Final answer
    x = 10,089.64

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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.