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Finding the Fourth Proportional to 11,914.09, 17,869.07 and 4,516.76

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Solution

The fourth proportional to 11,914.09, 17,869.07 and 4,516.76 is: 6,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.09 : 17,869.07 = 4,516.76 : x
  2. Step 2: Convert to fraction form
    11,914.09/17,869.07 = 4,516.76/x
  3. Step 3: Cross multiply
    11,914.09x = 17,869.07 × 4,516.76
  4. Step 4: Simplify right side
    11,914.09x = 80,710,356.58
  5. Step 5: Solve for x
    x = 80,710,356.58/11,914.09
  6. Step 6: Final answer
    x = 6,774.36

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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.