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Finding the Fourth Proportional to 8,425.67, 12,638.46 and 2,503.01

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Solution

The fourth proportional to 8,425.67, 12,638.46 and 2,503.01 is: 3,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.67 : 12,638.46 = 2,503.01 : x
  2. Step 2: Convert to fraction form
    8,425.67/12,638.46 = 2,503.01/x
  3. Step 3: Cross multiply
    8,425.67x = 12,638.46 × 2,503.01
  4. Step 4: Simplify right side
    8,425.67x = 31,634,191.76
  5. Step 5: Solve for x
    x = 31,634,191.76/8,425.67
  6. Step 6: Final answer
    x = 3,754.50

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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.