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Finding the Fourth Proportional to 8,300.16, 11,455.44 and 5,467.08

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Solution

The fourth proportional to 8,300.16, 11,455.44 and 5,467.08 is: 7,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.16 : 11,455.44 = 5,467.08 : x
  2. Step 2: Convert to fraction form
    8,300.16/11,455.44 = 5,467.08/x
  3. Step 3: Cross multiply
    8,300.16x = 11,455.44 × 5,467.08
  4. Step 4: Simplify right side
    8,300.16x = 62,627,860.12
  5. Step 5: Solve for x
    x = 62,627,860.12/8,300.16
  6. Step 6: Final answer
    x = 7,545.38

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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.