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Finding the Fourth Proportional to 8,302.80, 12,455.82 and 2,459.46

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Solution

The fourth proportional to 8,302.80, 12,455.82 and 2,459.46 is: 3,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.80 : 12,455.82 = 2,459.46 : x
  2. Step 2: Convert to fraction form
    8,302.80/12,455.82 = 2,459.46/x
  3. Step 3: Cross multiply
    8,302.80x = 12,455.82 × 2,459.46
  4. Step 4: Simplify right side
    8,302.80x = 30,634,591.06
  5. Step 5: Solve for x
    x = 30,634,591.06/8,302.80
  6. Step 6: Final answer
    x = 3,689.67

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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.