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Finding the Fourth Proportional to 10,605.64, 14,634.66 and 6,128.68

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Solution

The fourth proportional to 10,605.64, 14,634.66 and 6,128.68 is: 8,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.64 : 14,634.66 = 6,128.68 : x
  2. Step 2: Convert to fraction form
    10,605.64/14,634.66 = 6,128.68/x
  3. Step 3: Cross multiply
    10,605.64x = 14,634.66 × 6,128.68
  4. Step 4: Simplify right side
    10,605.64x = 89,691,148.05
  5. Step 5: Solve for x
    x = 89,691,148.05/10,605.64
  6. Step 6: Final answer
    x = 8,456.93

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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.