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Finding the Fourth Proportional to 8,225.48, 12,337.74 and 2,069

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Solution

The fourth proportional to 8,225.48, 12,337.74 and 2,069 is: 3,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.48 : 12,337.74 = 2,069 : x
  2. Step 2: Convert to fraction form
    8,225.48/12,337.74 = 2,069/x
  3. Step 3: Cross multiply
    8,225.48x = 12,337.74 × 2,069
  4. Step 4: Simplify right side
    8,225.48x = 25,526,784.06
  5. Step 5: Solve for x
    x = 25,526,784.06/8,225.48
  6. Step 6: Final answer
    x = 3,103.38

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