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Finding the Fourth Proportional to 12,135.60, 16,735.40 and 7,887.84

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Solution

The fourth proportional to 12,135.60, 16,735.40 and 7,887.84 is: 10,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.60 : 16,735.40 = 7,887.84 : x
  2. Step 2: Convert to fraction form
    12,135.60/16,735.40 = 7,887.84/x
  3. Step 3: Cross multiply
    12,135.60x = 16,735.40 × 7,887.84
  4. Step 4: Simplify right side
    12,135.60x = 132,006,157.54
  5. Step 5: Solve for x
    x = 132,006,157.54/12,135.60
  6. Step 6: Final answer
    x = 10,877.60

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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.