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Finding the Fourth Proportional to 10,933.91, 15,091.02 and 6,954.24

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Solution

The fourth proportional to 10,933.91, 15,091.02 and 6,954.24 is: 9,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.91 : 15,091.02 = 6,954.24 : x
  2. Step 2: Convert to fraction form
    10,933.91/15,091.02 = 6,954.24/x
  3. Step 3: Cross multiply
    10,933.91x = 15,091.02 × 6,954.24
  4. Step 4: Simplify right side
    10,933.91x = 104,946,574.92
  5. Step 5: Solve for x
    x = 104,946,574.92/10,933.91
  6. Step 6: Final answer
    x = 9,598.27

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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.