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Finding the Fourth Proportional to 11,554.16, 15,944.97 and 6,517.40

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Solution

The fourth proportional to 11,554.16, 15,944.97 and 6,517.40 is: 8,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.16 : 15,944.97 = 6,517.40 : x
  2. Step 2: Convert to fraction form
    11,554.16/15,944.97 = 6,517.40/x
  3. Step 3: Cross multiply
    11,554.16x = 15,944.97 × 6,517.40
  4. Step 4: Simplify right side
    11,554.16x = 103,919,667.75
  5. Step 5: Solve for x
    x = 103,919,667.75/11,554.16
  6. Step 6: Final answer
    x = 8,994.14

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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.