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Finding the Fourth Proportional to 8,827, 12,181.26 and 5,101

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Solution

The fourth proportional to 8,827, 12,181.26 and 5,101 is: 7,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827 : 12,181.26 = 5,101 : x
  2. Step 2: Convert to fraction form
    8,827/12,181.26 = 5,101/x
  3. Step 3: Cross multiply
    8,827x = 12,181.26 × 5,101
  4. Step 4: Simplify right side
    8,827x = 62,136,607.26
  5. Step 5: Solve for x
    x = 62,136,607.26/8,827
  6. Step 6: Final answer
    x = 7,039.38

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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.