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Finding the Fourth Proportional to 10,633.44, 14,664 and 8,111.12

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Solution

The fourth proportional to 10,633.44, 14,664 and 8,111.12 is: 11,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.44 : 14,664 = 8,111.12 : x
  2. Step 2: Convert to fraction form
    10,633.44/14,664 = 8,111.12/x
  3. Step 3: Cross multiply
    10,633.44x = 14,664 × 8,111.12
  4. Step 4: Simplify right side
    10,633.44x = 118,941,463.68
  5. Step 5: Solve for x
    x = 118,941,463.68/10,633.44
  6. Step 6: Final answer
    x = 11,185.61

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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.