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Finding the Fourth Proportional to 11,973.84, 16,506.78 and 8,426.04

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Solution

The fourth proportional to 11,973.84, 16,506.78 and 8,426.04 is: 11,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.84 : 16,506.78 = 8,426.04 : x
  2. Step 2: Convert to fraction form
    11,973.84/16,506.78 = 8,426.04/x
  3. Step 3: Cross multiply
    11,973.84x = 16,506.78 × 8,426.04
  4. Step 4: Simplify right side
    11,973.84x = 139,086,788.55
  5. Step 5: Solve for x
    x = 139,086,788.55/11,973.84
  6. Step 6: Final answer
    x = 11,615.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.