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Finding the Fourth Proportional to 8,064, 11,128.36 and 4,709.12

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Solution

The fourth proportional to 8,064, 11,128.36 and 4,709.12 is: 6,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 11,128.36 = 4,709.12 : x
  2. Step 2: Convert to fraction form
    8,064/11,128.36 = 4,709.12/x
  3. Step 3: Cross multiply
    8,064x = 11,128.36 × 4,709.12
  4. Step 4: Simplify right side
    8,064x = 52,404,782.64
  5. Step 5: Solve for x
    x = 52,404,782.64/8,064
  6. Step 6: Final answer
    x = 6,498.61

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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.