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Finding the Fourth Proportional to 11,970.84, 16,502.64 and 8,423.04

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Solution

The fourth proportional to 11,970.84, 16,502.64 and 8,423.04 is: 11,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.84 : 16,502.64 = 8,423.04 : x
  2. Step 2: Convert to fraction form
    11,970.84/16,502.64 = 8,423.04/x
  3. Step 3: Cross multiply
    11,970.84x = 16,502.64 × 8,423.04
  4. Step 4: Simplify right side
    11,970.84x = 139,002,396.83
  5. Step 5: Solve for x
    x = 139,002,396.83/11,970.84
  6. Step 6: Final answer
    x = 11,611.75

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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.