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Finding the Fourth Proportional to 11,824.50, 16,310.58 and 7,041.26

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Solution

The fourth proportional to 11,824.50, 16,310.58 and 7,041.26 is: 9,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.50 : 16,310.58 = 7,041.26 : x
  2. Step 2: Convert to fraction form
    11,824.50/16,310.58 = 7,041.26/x
  3. Step 3: Cross multiply
    11,824.50x = 16,310.58 × 7,041.26
  4. Step 4: Simplify right side
    11,824.50x = 114,847,034.53
  5. Step 5: Solve for x
    x = 114,847,034.53/11,824.50
  6. Step 6: Final answer
    x = 9,712.63

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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.