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Finding the Fourth Proportional to 10,605.13, 14,634.41 and 6,128.16

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Solution

The fourth proportional to 10,605.13, 14,634.41 and 6,128.16 is: 8,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.13 : 14,634.41 = 6,128.16 : x
  2. Step 2: Convert to fraction form
    10,605.13/14,634.41 = 6,128.16/x
  3. Step 3: Cross multiply
    10,605.13x = 14,634.41 × 6,128.16
  4. Step 4: Simplify right side
    10,605.13x = 89,682,005.99
  5. Step 5: Solve for x
    x = 89,682,005.99/10,605.13
  6. Step 6: Final answer
    x = 8,456.47

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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.