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Finding the Fourth Proportional to 10,827, 16,240.56 and 3,531

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Solution

The fourth proportional to 10,827, 16,240.56 and 3,531 is: 5,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 16,240.56 = 3,531 : x
  2. Step 2: Convert to fraction form
    10,827/16,240.56 = 3,531/x
  3. Step 3: Cross multiply
    10,827x = 16,240.56 × 3,531
  4. Step 4: Simplify right side
    10,827x = 57,345,417.36
  5. Step 5: Solve for x
    x = 57,345,417.36/10,827
  6. Step 6: Final answer
    x = 5,296.52

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Why These Related Problems?

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