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Finding the Fourth Proportional to 11,559.71, 15,968.72 and 9,198.83

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Solution

The fourth proportional to 11,559.71, 15,968.72 and 9,198.83 is: 12,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.71 : 15,968.72 = 9,198.83 : x
  2. Step 2: Convert to fraction form
    11,559.71/15,968.72 = 9,198.83/x
  3. Step 3: Cross multiply
    11,559.71x = 15,968.72 × 9,198.83
  4. Step 4: Simplify right side
    11,559.71x = 146,893,483.75
  5. Step 5: Solve for x
    x = 146,893,483.75/11,559.71
  6. Step 6: Final answer
    x = 12,707.37

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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.