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Finding the Fourth Proportional to 7,745.64, 11,623.23 and 3,064.86

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Solution

The fourth proportional to 7,745.64, 11,623.23 and 3,064.86 is: 4,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.64 : 11,623.23 = 3,064.86 : x
  2. Step 2: Convert to fraction form
    7,745.64/11,623.23 = 3,064.86/x
  3. Step 3: Cross multiply
    7,745.64x = 11,623.23 × 3,064.86
  4. Step 4: Simplify right side
    7,745.64x = 35,623,572.70
  5. Step 5: Solve for x
    x = 35,623,572.70/7,745.64
  6. Step 6: Final answer
    x = 4,599.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.