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Finding the Fourth Proportional to 11,693.91, 16,116.72 and 8,854.50

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Solution

The fourth proportional to 11,693.91, 16,116.72 and 8,854.50 is: 12,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.91 : 16,116.72 = 8,854.50 : x
  2. Step 2: Convert to fraction form
    11,693.91/16,116.72 = 8,854.50/x
  3. Step 3: Cross multiply
    11,693.91x = 16,116.72 × 8,854.50
  4. Step 4: Simplify right side
    11,693.91x = 142,705,497.24
  5. Step 5: Solve for x
    x = 142,705,497.24/11,693.91
  6. Step 6: Final answer
    x = 12,203.40

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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.