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Finding the Fourth Proportional to 11,618.70, 17,430.63 and 3,826.98

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Solution

The fourth proportional to 11,618.70, 17,430.63 and 3,826.98 is: 5,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.70 : 17,430.63 = 3,826.98 : x
  2. Step 2: Convert to fraction form
    11,618.70/17,430.63 = 3,826.98/x
  3. Step 3: Cross multiply
    11,618.70x = 17,430.63 × 3,826.98
  4. Step 4: Simplify right side
    11,618.70x = 66,706,672.40
  5. Step 5: Solve for x
    x = 66,706,672.40/11,618.70
  6. Step 6: Final answer
    x = 5,741.32

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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.