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Finding the Fourth Proportional to 13,089.30, 18,067.92 and 7,784.10

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Solution

The fourth proportional to 13,089.30, 18,067.92 and 7,784.10 is: 10,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.30 : 18,067.92 = 7,784.10 : x
  2. Step 2: Convert to fraction form
    13,089.30/18,067.92 = 7,784.10/x
  3. Step 3: Cross multiply
    13,089.30x = 18,067.92 × 7,784.10
  4. Step 4: Simplify right side
    13,089.30x = 140,642,496.07
  5. Step 5: Solve for x
    x = 140,642,496.07/13,089.30
  6. Step 6: Final answer
    x = 10,744.84

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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.