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Finding the Fourth Proportional to 10,814.52, 16,200.74 and 7,105.48

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Solution

The fourth proportional to 10,814.52, 16,200.74 and 7,105.48 is: 10,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.52 : 16,200.74 = 7,105.48 : x
  2. Step 2: Convert to fraction form
    10,814.52/16,200.74 = 7,105.48/x
  3. Step 3: Cross multiply
    10,814.52x = 16,200.74 × 7,105.48
  4. Step 4: Simplify right side
    10,814.52x = 115,114,034.06
  5. Step 5: Solve for x
    x = 115,114,034.06/10,814.52
  6. Step 6: Final answer
    x = 10,644.40

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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.