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Finding the Fourth Proportional to 10,841.44, 16,264.56 and 3,448.16

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Solution

The fourth proportional to 10,841.44, 16,264.56 and 3,448.16 is: 5,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.44 : 16,264.56 = 3,448.16 : x
  2. Step 2: Convert to fraction form
    10,841.44/16,264.56 = 3,448.16/x
  3. Step 3: Cross multiply
    10,841.44x = 16,264.56 × 3,448.16
  4. Step 4: Simplify right side
    10,841.44x = 56,082,805.21
  5. Step 5: Solve for x
    x = 56,082,805.21/10,841.44
  6. Step 6: Final answer
    x = 5,173.00

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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.