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Finding the Fourth Proportional to 11,033.96, 15,225.73 and 6,785.28

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Solution

The fourth proportional to 11,033.96, 15,225.73 and 6,785.28 is: 9,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.96 : 15,225.73 = 6,785.28 : x
  2. Step 2: Convert to fraction form
    11,033.96/15,225.73 = 6,785.28/x
  3. Step 3: Cross multiply
    11,033.96x = 15,225.73 × 6,785.28
  4. Step 4: Simplify right side
    11,033.96x = 103,310,824.29
  5. Step 5: Solve for x
    x = 103,310,824.29/11,033.96
  6. Step 6: Final answer
    x = 9,362.99

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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.