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Finding the Fourth Proportional to 8,064, 12,085.44 and 5,483.52

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Solution

The fourth proportional to 8,064, 12,085.44 and 5,483.52 is: 8,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064 : 12,085.44 = 5,483.52 : x
  2. Step 2: Convert to fraction form
    8,064/12,085.44 = 5,483.52/x
  3. Step 3: Cross multiply
    8,064x = 12,085.44 × 5,483.52
  4. Step 4: Simplify right side
    8,064x = 66,270,751.95
  5. Step 5: Solve for x
    x = 66,270,751.95/8,064
  6. Step 6: Final answer
    x = 8,218.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.