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Finding the Fourth Proportional to 8,330.77, 12,494.85 and 2,784.07

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Solution

The fourth proportional to 8,330.77, 12,494.85 and 2,784.07 is: 4,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.77 : 12,494.85 = 2,784.07 : x
  2. Step 2: Convert to fraction form
    8,330.77/12,494.85 = 2,784.07/x
  3. Step 3: Cross multiply
    8,330.77x = 12,494.85 × 2,784.07
  4. Step 4: Simplify right side
    8,330.77x = 34,786,537.04
  5. Step 5: Solve for x
    x = 34,786,537.04/8,330.77
  6. Step 6: Final answer
    x = 4,175.67

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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.