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Finding the Fourth Proportional to 11,592.57, 17,381.16 and 4,196.06

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Solution

The fourth proportional to 11,592.57, 17,381.16 and 4,196.06 is: 6,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.57 : 17,381.16 = 4,196.06 : x
  2. Step 2: Convert to fraction form
    11,592.57/17,381.16 = 4,196.06/x
  3. Step 3: Cross multiply
    11,592.57x = 17,381.16 × 4,196.06
  4. Step 4: Simplify right side
    11,592.57x = 72,932,390.23
  5. Step 5: Solve for x
    x = 72,932,390.23/11,592.57
  6. Step 6: Final answer
    x = 6,291.30

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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.