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Finding the Fourth Proportional to 11,376.80, 17,074.80 and 5,538.40

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Solution

The fourth proportional to 11,376.80, 17,074.80 and 5,538.40 is: 8,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.80 : 17,074.80 = 5,538.40 : x
  2. Step 2: Convert to fraction form
    11,376.80/17,074.80 = 5,538.40/x
  3. Step 3: Cross multiply
    11,376.80x = 17,074.80 × 5,538.40
  4. Step 4: Simplify right side
    11,376.80x = 94,567,072.32
  5. Step 5: Solve for x
    x = 94,567,072.32/11,376.80
  6. Step 6: Final answer
    x = 8,312.27

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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.