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Finding the Fourth Proportional to 8,245.12, 12,368.24 and 2,697

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Solution

The fourth proportional to 8,245.12, 12,368.24 and 2,697 is: 4,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.12 : 12,368.24 = 2,697 : x
  2. Step 2: Convert to fraction form
    8,245.12/12,368.24 = 2,697/x
  3. Step 3: Cross multiply
    8,245.12x = 12,368.24 × 2,697
  4. Step 4: Simplify right side
    8,245.12x = 33,357,143.28
  5. Step 5: Solve for x
    x = 33,357,143.28/8,245.12
  6. Step 6: Final answer
    x = 4,045.68

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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.