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Finding the Fourth Proportional to 7,726.74, 11,604.42 and 4,031.52

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Solution

The fourth proportional to 7,726.74, 11,604.42 and 4,031.52 is: 6,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.74 : 11,604.42 = 4,031.52 : x
  2. Step 2: Convert to fraction form
    7,726.74/11,604.42 = 4,031.52/x
  3. Step 3: Cross multiply
    7,726.74x = 11,604.42 × 4,031.52
  4. Step 4: Simplify right side
    7,726.74x = 46,783,451.32
  5. Step 5: Solve for x
    x = 46,783,451.32/7,726.74
  6. Step 6: Final answer
    x = 6,054.75

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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.