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Finding the Fourth Proportional to 11,926.28, 16,454.94 and 7,454.59

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Solution

The fourth proportional to 11,926.28, 16,454.94 and 7,454.59 is: 10,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.28 : 16,454.94 = 7,454.59 : x
  2. Step 2: Convert to fraction form
    11,926.28/16,454.94 = 7,454.59/x
  3. Step 3: Cross multiply
    11,926.28x = 16,454.94 × 7,454.59
  4. Step 4: Simplify right side
    11,926.28x = 122,664,831.17
  5. Step 5: Solve for x
    x = 122,664,831.17/11,926.28
  6. Step 6: Final answer
    x = 10,285.26

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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.