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Finding the Fourth Proportional to 12,764.16, 17,614.26 and 7,460.28

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Solution

The fourth proportional to 12,764.16, 17,614.26 and 7,460.28 is: 10,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.16 : 17,614.26 = 7,460.28 : x
  2. Step 2: Convert to fraction form
    12,764.16/17,614.26 = 7,460.28/x
  3. Step 3: Cross multiply
    12,764.16x = 17,614.26 × 7,460.28
  4. Step 4: Simplify right side
    12,764.16x = 131,407,311.59
  5. Step 5: Solve for x
    x = 131,407,311.59/12,764.16
  6. Step 6: Final answer
    x = 10,295.02

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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.