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Finding the Fourth Proportional to 10,817.25, 14,927.82 and 5,849.25

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Solution

The fourth proportional to 10,817.25, 14,927.82 and 5,849.25 is: 8,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.25 : 14,927.82 = 5,849.25 : x
  2. Step 2: Convert to fraction form
    10,817.25/14,927.82 = 5,849.25/x
  3. Step 3: Cross multiply
    10,817.25x = 14,927.82 × 5,849.25
  4. Step 4: Simplify right side
    10,817.25x = 87,316,551.14
  5. Step 5: Solve for x
    x = 87,316,551.14/10,817.25
  6. Step 6: Final answer
    x = 8,071.97

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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.