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Finding the Fourth Proportional to 11,823, 16,315.52 and 6,518.16

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Solution

The fourth proportional to 11,823, 16,315.52 and 6,518.16 is: 8,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 16,315.52 = 6,518.16 : x
  2. Step 2: Convert to fraction form
    11,823/16,315.52 = 6,518.16/x
  3. Step 3: Cross multiply
    11,823x = 16,315.52 × 6,518.16
  4. Step 4: Simplify right side
    11,823x = 106,347,169.84
  5. Step 5: Solve for x
    x = 106,347,169.84/11,823
  6. Step 6: Final answer
    x = 8,994.94

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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.