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Finding the Fourth Proportional to 11,138.98, 15,376.89 and 9,620.50

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Solution

The fourth proportional to 11,138.98, 15,376.89 and 9,620.50 is: 13,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.98 : 15,376.89 = 9,620.50 : x
  2. Step 2: Convert to fraction form
    11,138.98/15,376.89 = 9,620.50/x
  3. Step 3: Cross multiply
    11,138.98x = 15,376.89 × 9,620.50
  4. Step 4: Simplify right side
    11,138.98x = 147,933,370.25
  5. Step 5: Solve for x
    x = 147,933,370.25/11,138.98
  6. Step 6: Final answer
    x = 13,280.69

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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.