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Finding the Fourth Proportional to 12,961.26, 17,886.35 and 7,296.01

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Solution

The fourth proportional to 12,961.26, 17,886.35 and 7,296.01 is: 10,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.26 : 17,886.35 = 7,296.01 : x
  2. Step 2: Convert to fraction form
    12,961.26/17,886.35 = 7,296.01/x
  3. Step 3: Cross multiply
    12,961.26x = 17,886.35 × 7,296.01
  4. Step 4: Simplify right side
    12,961.26x = 130,498,961.99
  5. Step 5: Solve for x
    x = 130,498,961.99/12,961.26
  6. Step 6: Final answer
    x = 10,068.39

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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.