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Finding the Fourth Proportional to 8,417.73, 12,527.23 and 8,137.43

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Solution

The fourth proportional to 8,417.73, 12,527.23 and 8,137.43 is: 12,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.73 : 12,527.23 = 8,137.43 : x
  2. Step 2: Convert to fraction form
    8,417.73/12,527.23 = 8,137.43/x
  3. Step 3: Cross multiply
    8,417.73x = 12,527.23 × 8,137.43
  4. Step 4: Simplify right side
    8,417.73x = 101,939,457.22
  5. Step 5: Solve for x
    x = 101,939,457.22/8,417.73
  6. Step 6: Final answer
    x = 12,110.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.