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Finding the Fourth Proportional to 11,578.44, 15,970.32 and 7,384.80

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Solution

The fourth proportional to 11,578.44, 15,970.32 and 7,384.80 is: 10,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.44 : 15,970.32 = 7,384.80 : x
  2. Step 2: Convert to fraction form
    11,578.44/15,970.32 = 7,384.80/x
  3. Step 3: Cross multiply
    11,578.44x = 15,970.32 × 7,384.80
  4. Step 4: Simplify right side
    11,578.44x = 117,937,619.14
  5. Step 5: Solve for x
    x = 117,937,619.14/11,578.44
  6. Step 6: Final answer
    x = 10,185.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.