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Finding the Fourth Proportional to 10,563.51, 14,577.84 and 6,086.51

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Solution

The fourth proportional to 10,563.51, 14,577.84 and 6,086.51 is: 8,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.51 : 14,577.84 = 6,086.51 : x
  2. Step 2: Convert to fraction form
    10,563.51/14,577.84 = 6,086.51/x
  3. Step 3: Cross multiply
    10,563.51x = 14,577.84 × 6,086.51
  4. Step 4: Simplify right side
    10,563.51x = 88,728,096.05
  5. Step 5: Solve for x
    x = 88,728,096.05/10,563.51
  6. Step 6: Final answer
    x = 8,399.49

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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.