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Finding the Fourth Proportional to 10,940.76, 15,093 and 7,162.56

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Solution

The fourth proportional to 10,940.76, 15,093 and 7,162.56 is: 9,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.76 : 15,093 = 7,162.56 : x
  2. Step 2: Convert to fraction form
    10,940.76/15,093 = 7,162.56/x
  3. Step 3: Cross multiply
    10,940.76x = 15,093 × 7,162.56
  4. Step 4: Simplify right side
    10,940.76x = 108,104,518.08
  5. Step 5: Solve for x
    x = 108,104,518.08/10,940.76
  6. Step 6: Final answer
    x = 9,880.90

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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.