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Finding the Fourth Proportional to 11,817.29, 16,307.91 and 6,512.00

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Solution

The fourth proportional to 11,817.29, 16,307.91 and 6,512.00 is: 8,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.29 : 16,307.91 = 6,512.00 : x
  2. Step 2: Convert to fraction form
    11,817.29/16,307.91 = 6,512.00/x
  3. Step 3: Cross multiply
    11,817.29x = 16,307.91 × 6,512.00
  4. Step 4: Simplify right side
    11,817.29x = 106,197,028.38
  5. Step 5: Solve for x
    x = 106,197,028.38/11,817.29
  6. Step 6: Final answer
    x = 8,986.58

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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.