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Finding the Fourth Proportional to 11,559.90, 15,944.31 and 7,369.50

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Solution

The fourth proportional to 11,559.90, 15,944.31 and 7,369.50 is: 10,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.90 : 15,944.31 = 7,369.50 : x
  2. Step 2: Convert to fraction form
    11,559.90/15,944.31 = 7,369.50/x
  3. Step 3: Cross multiply
    11,559.90x = 15,944.31 × 7,369.50
  4. Step 4: Simplify right side
    11,559.90x = 117,501,592.55
  5. Step 5: Solve for x
    x = 117,501,592.55/11,559.90
  6. Step 6: Final answer
    x = 10,164.59

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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.