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Finding the Fourth Proportional to 11,880.16, 17,824.30 and 4,486.76

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Solution

The fourth proportional to 11,880.16, 17,824.30 and 4,486.76 is: 6,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.16 : 17,824.30 = 4,486.76 : x
  2. Step 2: Convert to fraction form
    11,880.16/17,824.30 = 4,486.76/x
  3. Step 3: Cross multiply
    11,880.16x = 17,824.30 × 4,486.76
  4. Step 4: Simplify right side
    11,880.16x = 79,973,356.27
  5. Step 5: Solve for x
    x = 79,973,356.27/11,880.16
  6. Step 6: Final answer
    x = 6,731.67

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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.