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Finding the Fourth Proportional to 10,601.69, 14,630.04 and 6,355.15

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Solution

The fourth proportional to 10,601.69, 14,630.04 and 6,355.15 is: 8,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.69 : 14,630.04 = 6,355.15 : x
  2. Step 2: Convert to fraction form
    10,601.69/14,630.04 = 6,355.15/x
  3. Step 3: Cross multiply
    10,601.69x = 14,630.04 × 6,355.15
  4. Step 4: Simplify right side
    10,601.69x = 92,976,062.13
  5. Step 5: Solve for x
    x = 92,976,062.13/10,601.69
  6. Step 6: Final answer
    x = 8,769.93

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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.