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Finding the Fourth Proportional to 11,384.32, 17,074.56 and 3,592

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Solution

The fourth proportional to 11,384.32, 17,074.56 and 3,592 is: 5,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.32 : 17,074.56 = 3,592 : x
  2. Step 2: Convert to fraction form
    11,384.32/17,074.56 = 3,592/x
  3. Step 3: Cross multiply
    11,384.32x = 17,074.56 × 3,592
  4. Step 4: Simplify right side
    11,384.32x = 61,331,819.52
  5. Step 5: Solve for x
    x = 61,331,819.52/11,384.32
  6. Step 6: Final answer
    x = 5,387.39

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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.