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Finding the Fourth Proportional to 10,640.80, 14,684.52 and 6,166

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Solution

The fourth proportional to 10,640.80, 14,684.52 and 6,166 is: 8,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.80 : 14,684.52 = 6,166 : x
  2. Step 2: Convert to fraction form
    10,640.80/14,684.52 = 6,166/x
  3. Step 3: Cross multiply
    10,640.80x = 14,684.52 × 6,166
  4. Step 4: Simplify right side
    10,640.80x = 90,544,750.32
  5. Step 5: Solve for x
    x = 90,544,750.32/10,640.80
  6. Step 6: Final answer
    x = 8,509.21

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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.