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Finding the Fourth Proportional to 11,877.16, 16,388.58 and 7,161.64

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Solution

The fourth proportional to 11,877.16, 16,388.58 and 7,161.64 is: 9,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.16 : 16,388.58 = 7,161.64 : x
  2. Step 2: Convert to fraction form
    11,877.16/16,388.58 = 7,161.64/x
  3. Step 3: Cross multiply
    11,877.16x = 16,388.58 × 7,161.64
  4. Step 4: Simplify right side
    11,877.16x = 117,369,110.07
  5. Step 5: Solve for x
    x = 117,369,110.07/11,877.16
  6. Step 6: Final answer
    x = 9,881.92

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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.