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Finding the Fourth Proportional to 12,764.94, 17,616.72 and 7,461.48

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Solution

The fourth proportional to 12,764.94, 17,616.72 and 7,461.48 is: 10,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.94 : 17,616.72 = 7,461.48 : x
  2. Step 2: Convert to fraction form
    12,764.94/17,616.72 = 7,461.48/x
  3. Step 3: Cross multiply
    12,764.94x = 17,616.72 × 7,461.48
  4. Step 4: Simplify right side
    12,764.94x = 131,446,803.95
  5. Step 5: Solve for x
    x = 131,446,803.95/12,764.94
  6. Step 6: Final answer
    x = 10,297.49

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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.