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Finding the Fourth Proportional to 11,829.71, 16,326.16 and 8,840.34

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Solution

The fourth proportional to 11,829.71, 16,326.16 and 8,840.34 is: 12,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.71 : 16,326.16 = 8,840.34 : x
  2. Step 2: Convert to fraction form
    11,829.71/16,326.16 = 8,840.34/x
  3. Step 3: Cross multiply
    11,829.71x = 16,326.16 × 8,840.34
  4. Step 4: Simplify right side
    11,829.71x = 144,328,783.19
  5. Step 5: Solve for x
    x = 144,328,783.19/11,829.71
  6. Step 6: Final answer
    x = 12,200.53

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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.