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Finding the Fourth Proportional to 8,165.21, 11,268.18 and 4,978.67

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Solution

The fourth proportional to 8,165.21, 11,268.18 and 4,978.67 is: 6,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.21 : 11,268.18 = 4,978.67 : x
  2. Step 2: Convert to fraction form
    8,165.21/11,268.18 = 4,978.67/x
  3. Step 3: Cross multiply
    8,165.21x = 11,268.18 × 4,978.67
  4. Step 4: Simplify right side
    8,165.21x = 56,100,493.38
  5. Step 5: Solve for x
    x = 56,100,493.38/8,165.21
  6. Step 6: Final answer
    x = 6,870.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.