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Finding the Fourth Proportional to 10,453.98, 15,677.84 and 4,212.48

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Solution

The fourth proportional to 10,453.98, 15,677.84 and 4,212.48 is: 6,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.98 : 15,677.84 = 4,212.48 : x
  2. Step 2: Convert to fraction form
    10,453.98/15,677.84 = 4,212.48/x
  3. Step 3: Cross multiply
    10,453.98x = 15,677.84 × 4,212.48
  4. Step 4: Simplify right side
    10,453.98x = 66,042,587.44
  5. Step 5: Solve for x
    x = 66,042,587.44/10,453.98
  6. Step 6: Final answer
    x = 6,317.46

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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.