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Finding the Fourth Proportional to 11,380.32, 17,068.56 and 3,588

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Solution

The fourth proportional to 11,380.32, 17,068.56 and 3,588 is: 5,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.32 : 17,068.56 = 3,588 : x
  2. Step 2: Convert to fraction form
    11,380.32/17,068.56 = 3,588/x
  3. Step 3: Cross multiply
    11,380.32x = 17,068.56 × 3,588
  4. Step 4: Simplify right side
    11,380.32x = 61,241,993.28
  5. Step 5: Solve for x
    x = 61,241,993.28/11,380.32
  6. Step 6: Final answer
    x = 5,381.39

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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.