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Finding the Fourth Proportional to 11,033.77, 15,226.70 and 5,998

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Solution

The fourth proportional to 11,033.77, 15,226.70 and 5,998 is: 8,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.77 : 15,226.70 = 5,998 : x
  2. Step 2: Convert to fraction form
    11,033.77/15,226.70 = 5,998/x
  3. Step 3: Cross multiply
    11,033.77x = 15,226.70 × 5,998
  4. Step 4: Simplify right side
    11,033.77x = 91,329,746.60
  5. Step 5: Solve for x
    x = 91,329,746.60/11,033.77
  6. Step 6: Final answer
    x = 8,277.29

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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.