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Finding the Fourth Proportional to 8,622.40, 12,897.60 and 7,853.44

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Solution

The fourth proportional to 8,622.40, 12,897.60 and 7,853.44 is: 11,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.40 : 12,897.60 = 7,853.44 : x
  2. Step 2: Convert to fraction form
    8,622.40/12,897.60 = 7,853.44/x
  3. Step 3: Cross multiply
    8,622.40x = 12,897.60 × 7,853.44
  4. Step 4: Simplify right side
    8,622.40x = 101,290,527.74
  5. Step 5: Solve for x
    x = 101,290,527.74/8,622.40
  6. Step 6: Final answer
    x = 11,747.37

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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.