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Finding the Fourth Proportional to 10,229.64, 14,112.16 and 5,980.88

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Solution

The fourth proportional to 10,229.64, 14,112.16 and 5,980.88 is: 8,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.64 : 14,112.16 = 5,980.88 : x
  2. Step 2: Convert to fraction form
    10,229.64/14,112.16 = 5,980.88/x
  3. Step 3: Cross multiply
    10,229.64x = 14,112.16 × 5,980.88
  4. Step 4: Simplify right side
    10,229.64x = 84,403,135.50
  5. Step 5: Solve for x
    x = 84,403,135.50/10,229.64
  6. Step 6: Final answer
    x = 8,250.84

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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.