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Finding the Fourth Proportional to 11,338, 17,007.98 and 3,130

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Solution

The fourth proportional to 11,338, 17,007.98 and 3,130 is: 4,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338 : 17,007.98 = 3,130 : x
  2. Step 2: Convert to fraction form
    11,338/17,007.98 = 3,130/x
  3. Step 3: Cross multiply
    11,338x = 17,007.98 × 3,130
  4. Step 4: Simplify right side
    11,338x = 53,234,977.40
  5. Step 5: Solve for x
    x = 53,234,977.40/11,338
  6. Step 6: Final answer
    x = 4,695.27

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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.