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Finding the Fourth Proportional to 8,648.24, 12,970.94 and 2,408.67

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Solution

The fourth proportional to 8,648.24, 12,970.94 and 2,408.67 is: 3,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.24 : 12,970.94 = 2,408.67 : x
  2. Step 2: Convert to fraction form
    8,648.24/12,970.94 = 2,408.67/x
  3. Step 3: Cross multiply
    8,648.24x = 12,970.94 × 2,408.67
  4. Step 4: Simplify right side
    8,648.24x = 31,242,702.01
  5. Step 5: Solve for x
    x = 31,242,702.01/8,648.24
  6. Step 6: Final answer
    x = 3,612.61

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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.