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Finding the Fourth Proportional to 8,409.74, 12,625.60 and 5,648.72

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Solution

The fourth proportional to 8,409.74, 12,625.60 and 5,648.72 is: 8,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.74 : 12,625.60 = 5,648.72 : x
  2. Step 2: Convert to fraction form
    8,409.74/12,625.60 = 5,648.72/x
  3. Step 3: Cross multiply
    8,409.74x = 12,625.60 × 5,648.72
  4. Step 4: Simplify right side
    8,409.74x = 71,318,479.23
  5. Step 5: Solve for x
    x = 71,318,479.23/8,409.74
  6. Step 6: Final answer
    x = 8,480.46

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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.