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Finding the Fourth Proportional to 11,309.60, 15,590.86 and 7,942.16

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Solution

The fourth proportional to 11,309.60, 15,590.86 and 7,942.16 is: 10,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.60 : 15,590.86 = 7,942.16 : x
  2. Step 2: Convert to fraction form
    11,309.60/15,590.86 = 7,942.16/x
  3. Step 3: Cross multiply
    11,309.60x = 15,590.86 × 7,942.16
  4. Step 4: Simplify right side
    11,309.60x = 123,825,104.66
  5. Step 5: Solve for x
    x = 123,825,104.66/11,309.60
  6. Step 6: Final answer
    x = 10,948.67

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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.