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Finding the Fourth Proportional to 11,267.48, 16,903.48 and 3,476

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Solution

The fourth proportional to 11,267.48, 16,903.48 and 3,476 is: 5,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.48 : 16,903.48 = 3,476 : x
  2. Step 2: Convert to fraction form
    11,267.48/16,903.48 = 3,476/x
  3. Step 3: Cross multiply
    11,267.48x = 16,903.48 × 3,476
  4. Step 4: Simplify right side
    11,267.48x = 58,756,496.48
  5. Step 5: Solve for x
    x = 58,756,496.48/11,267.48
  6. Step 6: Final answer
    x = 5,214.70

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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.