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Finding the Fourth Proportional to 8,309.94, 11,467.08 and 4,774.29

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Solution

The fourth proportional to 8,309.94, 11,467.08 and 4,774.29 is: 6,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.94 : 11,467.08 = 4,774.29 : x
  2. Step 2: Convert to fraction form
    8,309.94/11,467.08 = 4,774.29/x
  3. Step 3: Cross multiply
    8,309.94x = 11,467.08 × 4,774.29
  4. Step 4: Simplify right side
    8,309.94x = 54,747,165.37
  5. Step 5: Solve for x
    x = 54,747,165.37/8,309.94
  6. Step 6: Final answer
    x = 6,588.15

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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.