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Finding the Fourth Proportional to 11,546.13, 17,330.13 and 5,706.84

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Solution

The fourth proportional to 11,546.13, 17,330.13 and 5,706.84 is: 8,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.13 : 17,330.13 = 5,706.84 : x
  2. Step 2: Convert to fraction form
    11,546.13/17,330.13 = 5,706.84/x
  3. Step 3: Cross multiply
    11,546.13x = 17,330.13 × 5,706.84
  4. Step 4: Simplify right side
    11,546.13x = 98,900,279.09
  5. Step 5: Solve for x
    x = 98,900,279.09/11,546.13
  6. Step 6: Final answer
    x = 8,565.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.