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Finding the Fourth Proportional to 11,814.12, 16,302.98 and 6,774.84

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Solution

The fourth proportional to 11,814.12, 16,302.98 and 6,774.84 is: 9,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.12 : 16,302.98 = 6,774.84 : x
  2. Step 2: Convert to fraction form
    11,814.12/16,302.98 = 6,774.84/x
  3. Step 3: Cross multiply
    11,814.12x = 16,302.98 × 6,774.84
  4. Step 4: Simplify right side
    11,814.12x = 110,450,097.96
  5. Step 5: Solve for x
    x = 110,450,097.96/11,814.12
  6. Step 6: Final answer
    x = 9,348.99

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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.