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Finding the Fourth Proportional to 8,462.63, 11,680.96 and 5,478.67

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Solution

The fourth proportional to 8,462.63, 11,680.96 and 5,478.67 is: 7,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.63 : 11,680.96 = 5,478.67 : x
  2. Step 2: Convert to fraction form
    8,462.63/11,680.96 = 5,478.67/x
  3. Step 3: Cross multiply
    8,462.63x = 11,680.96 × 5,478.67
  4. Step 4: Simplify right side
    8,462.63x = 63,996,066.72
  5. Step 5: Solve for x
    x = 63,996,066.72/8,462.63
  6. Step 6: Final answer
    x = 7,562.20

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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.