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Finding the Fourth Proportional to 11,660.40, 16,054.20 and 10,865.52

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Solution

The fourth proportional to 11,660.40, 16,054.20 and 10,865.52 is: 14,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.40 : 16,054.20 = 10,865.52 : x
  2. Step 2: Convert to fraction form
    11,660.40/16,054.20 = 10,865.52/x
  3. Step 3: Cross multiply
    11,660.40x = 16,054.20 × 10,865.52
  4. Step 4: Simplify right side
    11,660.40x = 174,437,231.18
  5. Step 5: Solve for x
    x = 174,437,231.18/11,660.40
  6. Step 6: Final answer
    x = 14,959.80

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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.