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Finding the Fourth Proportional to 11,683.25, 16,134.08 and 9,292.07

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Solution

The fourth proportional to 11,683.25, 16,134.08 and 9,292.07 is: 12,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.25 : 16,134.08 = 9,292.07 : x
  2. Step 2: Convert to fraction form
    11,683.25/16,134.08 = 9,292.07/x
  3. Step 3: Cross multiply
    11,683.25x = 16,134.08 × 9,292.07
  4. Step 4: Simplify right side
    11,683.25x = 149,919,051.70
  5. Step 5: Solve for x
    x = 149,919,051.70/11,683.25
  6. Step 6: Final answer
    x = 12,831.96

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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.