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Finding the Fourth Proportional to 7,441.58, 11,165.62 and 2,823.50

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Solution

The fourth proportional to 7,441.58, 11,165.62 and 2,823.50 is: 4,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.58 : 11,165.62 = 2,823.50 : x
  2. Step 2: Convert to fraction form
    7,441.58/11,165.62 = 2,823.50/x
  3. Step 3: Cross multiply
    7,441.58x = 11,165.62 × 2,823.50
  4. Step 4: Simplify right side
    7,441.58x = 31,526,128.07
  5. Step 5: Solve for x
    x = 31,526,128.07/7,441.58
  6. Step 6: Final answer
    x = 4,236.48

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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.