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Finding the Fourth Proportional to 10,448.98, 15,662.45 and 3,427.16

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Solution

The fourth proportional to 10,448.98, 15,662.45 and 3,427.16 is: 5,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.98 : 15,662.45 = 3,427.16 : x
  2. Step 2: Convert to fraction form
    10,448.98/15,662.45 = 3,427.16/x
  3. Step 3: Cross multiply
    10,448.98x = 15,662.45 × 3,427.16
  4. Step 4: Simplify right side
    10,448.98x = 53,677,722.14
  5. Step 5: Solve for x
    x = 53,677,722.14/10,448.98
  6. Step 6: Final answer
    x = 5,137.13

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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.