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Finding the Fourth Proportional to 11,875.50, 17,813.28 and 4,950

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Solution

The fourth proportional to 11,875.50, 17,813.28 and 4,950 is: 7,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.50 : 17,813.28 = 4,950 : x
  2. Step 2: Convert to fraction form
    11,875.50/17,813.28 = 4,950/x
  3. Step 3: Cross multiply
    11,875.50x = 17,813.28 × 4,950
  4. Step 4: Simplify right side
    11,875.50x = 88,175,736
  5. Step 5: Solve for x
    x = 88,175,736/11,875.50
  6. Step 6: Final answer
    x = 7,425.01

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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.