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Finding the Fourth Proportional to 10,454.77, 14,428.73 and 5,978.94

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Solution

The fourth proportional to 10,454.77, 14,428.73 and 5,978.94 is: 8,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.77 : 14,428.73 = 5,978.94 : x
  2. Step 2: Convert to fraction form
    10,454.77/14,428.73 = 5,978.94/x
  3. Step 3: Cross multiply
    10,454.77x = 14,428.73 × 5,978.94
  4. Step 4: Simplify right side
    10,454.77x = 86,268,512.37
  5. Step 5: Solve for x
    x = 86,268,512.37/10,454.77
  6. Step 6: Final answer
    x = 8,251.59

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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.