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Finding the Fourth Proportional to 11,926.17, 16,454.76 and 7,454.46

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Solution

The fourth proportional to 11,926.17, 16,454.76 and 7,454.46 is: 10,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.17 : 16,454.76 = 7,454.46 : x
  2. Step 2: Convert to fraction form
    11,926.17/16,454.76 = 7,454.46/x
  3. Step 3: Cross multiply
    11,926.17x = 16,454.76 × 7,454.46
  4. Step 4: Simplify right side
    11,926.17x = 122,661,350.23
  5. Step 5: Solve for x
    x = 122,661,350.23/11,926.17
  6. Step 6: Final answer
    x = 10,285.06

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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.