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Finding the Fourth Proportional to 8,417.82, 12,626.26 and 2,573.98

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Solution

The fourth proportional to 8,417.82, 12,626.26 and 2,573.98 is: 3,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.82 : 12,626.26 = 2,573.98 : x
  2. Step 2: Convert to fraction form
    8,417.82/12,626.26 = 2,573.98/x
  3. Step 3: Cross multiply
    8,417.82x = 12,626.26 × 2,573.98
  4. Step 4: Simplify right side
    8,417.82x = 32,499,740.71
  5. Step 5: Solve for x
    x = 32,499,740.71/8,417.82
  6. Step 6: Final answer
    x = 3,860.83

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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.