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Finding the Fourth Proportional to 7,427.66, 11,143.52 and 2,986.67

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Solution

The fourth proportional to 7,427.66, 11,143.52 and 2,986.67 is: 4,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.66 : 11,143.52 = 2,986.67 : x
  2. Step 2: Convert to fraction form
    7,427.66/11,143.52 = 2,986.67/x
  3. Step 3: Cross multiply
    7,427.66x = 11,143.52 × 2,986.67
  4. Step 4: Simplify right side
    7,427.66x = 33,281,946.23
  5. Step 5: Solve for x
    x = 33,281,946.23/7,427.66
  6. Step 6: Final answer
    x = 4,480.81

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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.