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Finding the Fourth Proportional to 11,120.95, 15,344.40 and 6,643.83

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Solution

The fourth proportional to 11,120.95, 15,344.40 and 6,643.83 is: 9,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,120.95 : 15,344.40 = 6,643.83 : x
  2. Step 2: Convert to fraction form
    11,120.95/15,344.40 = 6,643.83/x
  3. Step 3: Cross multiply
    11,120.95x = 15,344.40 × 6,643.83
  4. Step 4: Simplify right side
    11,120.95x = 101,945,667.51
  5. Step 5: Solve for x
    x = 101,945,667.51/11,120.95
  6. Step 6: Final answer
    x = 9,166.99

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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.