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Finding the Fourth Proportional to 10,454.63, 14,427.18 and 5,978.16

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Solution

The fourth proportional to 10,454.63, 14,427.18 and 5,978.16 is: 8,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.63 : 14,427.18 = 5,978.16 : x
  2. Step 2: Convert to fraction form
    10,454.63/14,427.18 = 5,978.16/x
  3. Step 3: Cross multiply
    10,454.63x = 14,427.18 × 5,978.16
  4. Step 4: Simplify right side
    10,454.63x = 86,247,990.39
  5. Step 5: Solve for x
    x = 86,247,990.39/10,454.63
  6. Step 6: Final answer
    x = 8,249.75

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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.