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Finding the Fourth Proportional to 11,531.50, 17,284.95 and 4,958.20

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Solution

The fourth proportional to 11,531.50, 17,284.95 and 4,958.20 is: 7,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.50 : 17,284.95 = 4,958.20 : x
  2. Step 2: Convert to fraction form
    11,531.50/17,284.95 = 4,958.20/x
  3. Step 3: Cross multiply
    11,531.50x = 17,284.95 × 4,958.20
  4. Step 4: Simplify right side
    11,531.50x = 85,702,239.09
  5. Step 5: Solve for x
    x = 85,702,239.09/11,531.50
  6. Step 6: Final answer
    x = 7,432.01

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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.