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Finding the Fourth Proportional to 11,849.94, 17,774.19 and 3,529.98

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Solution

The fourth proportional to 11,849.94, 17,774.19 and 3,529.98 is: 5,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.94 : 17,774.19 = 3,529.98 : x
  2. Step 2: Convert to fraction form
    11,849.94/17,774.19 = 3,529.98/x
  3. Step 3: Cross multiply
    11,849.94x = 17,774.19 × 3,529.98
  4. Step 4: Simplify right side
    11,849.94x = 62,742,535.22
  5. Step 5: Solve for x
    x = 62,742,535.22/11,849.94
  6. Step 6: Final answer
    x = 5,294.76

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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.