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Finding the Fourth Proportional to 10,285.69, 14,194.14 and 5,809.45

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Solution

The fourth proportional to 10,285.69, 14,194.14 and 5,809.45 is: 8,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.69 : 14,194.14 = 5,809.45 : x
  2. Step 2: Convert to fraction form
    10,285.69/14,194.14 = 5,809.45/x
  3. Step 3: Cross multiply
    10,285.69x = 14,194.14 × 5,809.45
  4. Step 4: Simplify right side
    10,285.69x = 82,460,146.62
  5. Step 5: Solve for x
    x = 82,460,146.62/10,285.69
  6. Step 6: Final answer
    x = 8,016.98

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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.