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Finding the Fourth Proportional to 8,298.64, 11,450.72 and 5,467.20

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Solution

The fourth proportional to 8,298.64, 11,450.72 and 5,467.20 is: 7,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.64 : 11,450.72 = 5,467.20 : x
  2. Step 2: Convert to fraction form
    8,298.64/11,450.72 = 5,467.20/x
  3. Step 3: Cross multiply
    8,298.64x = 11,450.72 × 5,467.20
  4. Step 4: Simplify right side
    8,298.64x = 62,603,376.38
  5. Step 5: Solve for x
    x = 62,603,376.38/8,298.64
  6. Step 6: Final answer
    x = 7,543.81

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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.