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Finding the Fourth Proportional to 11,884.60, 16,395.60 and 7,166.20

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Solution

The fourth proportional to 11,884.60, 16,395.60 and 7,166.20 is: 9,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.60 : 16,395.60 = 7,166.20 : x
  2. Step 2: Convert to fraction form
    11,884.60/16,395.60 = 7,166.20/x
  3. Step 3: Cross multiply
    11,884.60x = 16,395.60 × 7,166.20
  4. Step 4: Simplify right side
    11,884.60x = 117,494,148.72
  5. Step 5: Solve for x
    x = 117,494,148.72/11,884.60
  6. Step 6: Final answer
    x = 9,886.25

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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.