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Finding the Fourth Proportional to 12,102.52, 16,696.98 and 7,065.88

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Solution

The fourth proportional to 12,102.52, 16,696.98 and 7,065.88 is: 9,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.52 : 16,696.98 = 7,065.88 : x
  2. Step 2: Convert to fraction form
    12,102.52/16,696.98 = 7,065.88/x
  3. Step 3: Cross multiply
    12,102.52x = 16,696.98 × 7,065.88
  4. Step 4: Simplify right side
    12,102.52x = 117,978,857.04
  5. Step 5: Solve for x
    x = 117,978,857.04/12,102.52
  6. Step 6: Final answer
    x = 9,748.29

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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.