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Finding the Fourth Proportional to 10,817.22, 14,927.72 and 5,849.22

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Solution

The fourth proportional to 10,817.22, 14,927.72 and 5,849.22 is: 8,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.22 : 14,927.72 = 5,849.22 : x
  2. Step 2: Convert to fraction form
    10,817.22/14,927.72 = 5,849.22/x
  3. Step 3: Cross multiply
    10,817.22x = 14,927.72 × 5,849.22
  4. Step 4: Simplify right side
    10,817.22x = 87,315,518.38
  5. Step 5: Solve for x
    x = 87,315,518.38/10,817.22
  6. Step 6: Final answer
    x = 8,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.