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Finding the Fourth Proportional to 8,254.42, 12,383.63 and 4,746.67

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Solution

The fourth proportional to 8,254.42, 12,383.63 and 4,746.67 is: 7,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.42 : 12,383.63 = 4,746.67 : x
  2. Step 2: Convert to fraction form
    8,254.42/12,383.63 = 4,746.67/x
  3. Step 3: Cross multiply
    8,254.42x = 12,383.63 × 4,746.67
  4. Step 4: Simplify right side
    8,254.42x = 58,780,919.36
  5. Step 5: Solve for x
    x = 58,780,919.36/8,254.42
  6. Step 6: Final answer
    x = 7,121.15

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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.