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Finding the Fourth Proportional to 10,733.13, 16,072.16 and 7,024.55

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Solution

The fourth proportional to 10,733.13, 16,072.16 and 7,024.55 is: 10,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.13 : 16,072.16 = 7,024.55 : x
  2. Step 2: Convert to fraction form
    10,733.13/16,072.16 = 7,024.55/x
  3. Step 3: Cross multiply
    10,733.13x = 16,072.16 × 7,024.55
  4. Step 4: Simplify right side
    10,733.13x = 112,899,576.04
  5. Step 5: Solve for x
    x = 112,899,576.04/10,733.13
  6. Step 6: Final answer
    x = 10,518.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.