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Finding the Fourth Proportional to 8,114.75, 12,173.48 and 2,848.40

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Solution

The fourth proportional to 8,114.75, 12,173.48 and 2,848.40 is: 4,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.75 : 12,173.48 = 2,848.40 : x
  2. Step 2: Convert to fraction form
    8,114.75/12,173.48 = 2,848.40/x
  3. Step 3: Cross multiply
    8,114.75x = 12,173.48 × 2,848.40
  4. Step 4: Simplify right side
    8,114.75x = 34,674,896.52
  5. Step 5: Solve for x
    x = 34,674,896.52/8,114.75
  6. Step 6: Final answer
    x = 4,273.07

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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.