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Finding the Fourth Proportional to 23,927, 35,899.16 and 7,511

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Solution

The fourth proportional to 23,927, 35,899.16 and 7,511 is: 11,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927 : 35,899.16 = 7,511 : x
  2. Step 2: Convert to fraction form
    23,927/35,899.16 = 7,511/x
  3. Step 3: Cross multiply
    23,927x = 35,899.16 × 7,511
  4. Step 4: Simplify right side
    23,927x = 269,638,590.76
  5. Step 5: Solve for x
    x = 269,638,590.76/23,927
  6. Step 6: Final answer
    x = 11,269.22

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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.