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Finding the Fourth Proportional to 10,451.41, 14,422.93 and 5,975.26

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Solution

The fourth proportional to 10,451.41, 14,422.93 and 5,975.26 is: 8,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.41 : 14,422.93 = 5,975.26 : x
  2. Step 2: Convert to fraction form
    10,451.41/14,422.93 = 5,975.26/x
  3. Step 3: Cross multiply
    10,451.41x = 14,422.93 × 5,975.26
  4. Step 4: Simplify right side
    10,451.41x = 86,180,756.71
  5. Step 5: Solve for x
    x = 86,180,756.71/10,451.41
  6. Step 6: Final answer
    x = 8,245.85

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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.