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Finding the Fourth Proportional to 11,848.99, 17,773.44 and 4,827.44

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Solution

The fourth proportional to 11,848.99, 17,773.44 and 4,827.44 is: 7,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.99 : 17,773.44 = 4,827.44 : x
  2. Step 2: Convert to fraction form
    11,848.99/17,773.44 = 4,827.44/x
  3. Step 3: Cross multiply
    11,848.99x = 17,773.44 × 4,827.44
  4. Step 4: Simplify right side
    11,848.99x = 85,800,102.19
  5. Step 5: Solve for x
    x = 85,800,102.19/11,848.99
  6. Step 6: Final answer
    x = 7,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.