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Finding the Fourth Proportional to 11,683.83, 16,104.48 and 8,281.98

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Solution

The fourth proportional to 11,683.83, 16,104.48 and 8,281.98 is: 11,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.83 : 16,104.48 = 8,281.98 : x
  2. Step 2: Convert to fraction form
    11,683.83/16,104.48 = 8,281.98/x
  3. Step 3: Cross multiply
    11,683.83x = 16,104.48 × 8,281.98
  4. Step 4: Simplify right side
    11,683.83x = 133,376,981.27
  5. Step 5: Solve for x
    x = 133,376,981.27/11,683.83
  6. Step 6: Final answer
    x = 11,415.52

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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.