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Finding the Fourth Proportional to 11,679.88, 17,522.13 and 4,284.40

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Solution

The fourth proportional to 11,679.88, 17,522.13 and 4,284.40 is: 6,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.88 : 17,522.13 = 4,284.40 : x
  2. Step 2: Convert to fraction form
    11,679.88/17,522.13 = 4,284.40/x
  3. Step 3: Cross multiply
    11,679.88x = 17,522.13 × 4,284.40
  4. Step 4: Simplify right side
    11,679.88x = 75,071,838.04
  5. Step 5: Solve for x
    x = 75,071,838.04/11,679.88
  6. Step 6: Final answer
    x = 6,427.45

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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.