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Finding the Fourth Proportional to 10,744.61, 14,825.90 and 6,027.98

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Solution

The fourth proportional to 10,744.61, 14,825.90 and 6,027.98 is: 8,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.61 : 14,825.90 = 6,027.98 : x
  2. Step 2: Convert to fraction form
    10,744.61/14,825.90 = 6,027.98/x
  3. Step 3: Cross multiply
    10,744.61x = 14,825.90 × 6,027.98
  4. Step 4: Simplify right side
    10,744.61x = 89,370,169.62
  5. Step 5: Solve for x
    x = 89,370,169.62/10,744.61
  6. Step 6: Final answer
    x = 8,317.68

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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.