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Finding the Fourth Proportional to 11,744.89, 16,210.02 and 7,029.16

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Solution

The fourth proportional to 11,744.89, 16,210.02 and 7,029.16 is: 9,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.89 : 16,210.02 = 7,029.16 : x
  2. Step 2: Convert to fraction form
    11,744.89/16,210.02 = 7,029.16/x
  3. Step 3: Cross multiply
    11,744.89x = 16,210.02 × 7,029.16
  4. Step 4: Simplify right side
    11,744.89x = 113,942,824.18
  5. Step 5: Solve for x
    x = 113,942,824.18/11,744.89
  6. Step 6: Final answer
    x = 9,701.48

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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.