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Finding the Fourth Proportional to 11,827.48, 16,323.08 and 7,111.68

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Solution

The fourth proportional to 11,827.48, 16,323.08 and 7,111.68 is: 9,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.48 : 16,323.08 = 7,111.68 : x
  2. Step 2: Convert to fraction form
    11,827.48/16,323.08 = 7,111.68/x
  3. Step 3: Cross multiply
    11,827.48x = 16,323.08 × 7,111.68
  4. Step 4: Simplify right side
    11,827.48x = 116,084,521.57
  5. Step 5: Solve for x
    x = 116,084,521.57/11,827.48
  6. Step 6: Final answer
    x = 9,814.81

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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.