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Finding the Fourth Proportional to 6,364.08, 8,790.84 and 5,305.31

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Solution

The fourth proportional to 6,364.08, 8,790.84 and 5,305.31 is: 7,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.08 : 8,790.84 = 5,305.31 : x
  2. Step 2: Convert to fraction form
    6,364.08/8,790.84 = 5,305.31/x
  3. Step 3: Cross multiply
    6,364.08x = 8,790.84 × 5,305.31
  4. Step 4: Simplify right side
    6,364.08x = 46,638,087.41
  5. Step 5: Solve for x
    x = 46,638,087.41/6,364.08
  6. Step 6: Final answer
    x = 7,328.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.