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Finding the Fourth Proportional to 12,181.46, 16,810.26 and 7,466

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Solution

The fourth proportional to 12,181.46, 16,810.26 and 7,466 is: 10,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.46 : 16,810.26 = 7,466 : x
  2. Step 2: Convert to fraction form
    12,181.46/16,810.26 = 7,466/x
  3. Step 3: Cross multiply
    12,181.46x = 16,810.26 × 7,466
  4. Step 4: Simplify right side
    12,181.46x = 125,505,401.16
  5. Step 5: Solve for x
    x = 125,505,401.16/12,181.46
  6. Step 6: Final answer
    x = 10,302.99

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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.