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Finding the Fourth Proportional to 10,571.51, 14,589.92 and 6,035.31

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Solution

The fourth proportional to 10,571.51, 14,589.92 and 6,035.31 is: 8,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.51 : 14,589.92 = 6,035.31 : x
  2. Step 2: Convert to fraction form
    10,571.51/14,589.92 = 6,035.31/x
  3. Step 3: Cross multiply
    10,571.51x = 14,589.92 × 6,035.31
  4. Step 4: Simplify right side
    10,571.51x = 88,054,705.16
  5. Step 5: Solve for x
    x = 88,054,705.16/10,571.51
  6. Step 6: Final answer
    x = 8,329.43

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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.