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Finding the Fourth Proportional to 11,760.06, 16,228.98 and 6,455.46

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Solution

The fourth proportional to 11,760.06, 16,228.98 and 6,455.46 is: 8,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.06 : 16,228.98 = 6,455.46 : x
  2. Step 2: Convert to fraction form
    11,760.06/16,228.98 = 6,455.46/x
  3. Step 3: Cross multiply
    11,760.06x = 16,228.98 × 6,455.46
  4. Step 4: Simplify right side
    11,760.06x = 104,765,531.23
  5. Step 5: Solve for x
    x = 104,765,531.23/11,760.06
  6. Step 6: Final answer
    x = 8,908.59

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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.