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Finding the Fourth Proportional to 11,422.02, 15,751.88 and 7,441.68

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Solution

The fourth proportional to 11,422.02, 15,751.88 and 7,441.68 is: 10,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.02 : 15,751.88 = 7,441.68 : x
  2. Step 2: Convert to fraction form
    11,422.02/15,751.88 = 7,441.68/x
  3. Step 3: Cross multiply
    11,422.02x = 15,751.88 × 7,441.68
  4. Step 4: Simplify right side
    11,422.02x = 117,220,450.36
  5. Step 5: Solve for x
    x = 117,220,450.36/11,422.02
  6. Step 6: Final answer
    x = 10,262.67

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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.