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Finding the Fourth Proportional to 11,381.32, 17,070.06 and 3,589

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Solution

The fourth proportional to 11,381.32, 17,070.06 and 3,589 is: 5,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.32 : 17,070.06 = 3,589 : x
  2. Step 2: Convert to fraction form
    11,381.32/17,070.06 = 3,589/x
  3. Step 3: Cross multiply
    11,381.32x = 17,070.06 × 3,589
  4. Step 4: Simplify right side
    11,381.32x = 61,264,445.34
  5. Step 5: Solve for x
    x = 61,264,445.34/11,381.32
  6. Step 6: Final answer
    x = 5,382.89

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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.