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Finding the Fourth Proportional to 10,944.33, 15,104.16 and 6,228.87

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Solution

The fourth proportional to 10,944.33, 15,104.16 and 6,228.87 is: 8,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.33 : 15,104.16 = 6,228.87 : x
  2. Step 2: Convert to fraction form
    10,944.33/15,104.16 = 6,228.87/x
  3. Step 3: Cross multiply
    10,944.33x = 15,104.16 × 6,228.87
  4. Step 4: Simplify right side
    10,944.33x = 94,081,849.10
  5. Step 5: Solve for x
    x = 94,081,849.10/10,944.33
  6. Step 6: Final answer
    x = 8,596.40

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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.