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Finding the Fourth Proportional to 10,827.81, 16,241.49 and 3,036.42

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Solution

The fourth proportional to 10,827.81, 16,241.49 and 3,036.42 is: 4,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.81 : 16,241.49 = 3,036.42 : x
  2. Step 2: Convert to fraction form
    10,827.81/16,241.49 = 3,036.42/x
  3. Step 3: Cross multiply
    10,827.81x = 16,241.49 × 3,036.42
  4. Step 4: Simplify right side
    10,827.81x = 49,315,985.07
  5. Step 5: Solve for x
    x = 49,315,985.07/10,827.81
  6. Step 6: Final answer
    x = 4,554.57

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