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Finding the Fourth Proportional to 10,037, 13,851.06 and 5,621

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Solution

The fourth proportional to 10,037, 13,851.06 and 5,621 is: 7,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037 : 13,851.06 = 5,621 : x
  2. Step 2: Convert to fraction form
    10,037/13,851.06 = 5,621/x
  3. Step 3: Cross multiply
    10,037x = 13,851.06 × 5,621
  4. Step 4: Simplify right side
    10,037x = 77,856,808.26
  5. Step 5: Solve for x
    x = 77,856,808.26/10,037
  6. Step 6: Final answer
    x = 7,756.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.