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Finding the Fourth Proportional to 12,961.14, 17,883.34 and 7,656.75

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Solution

The fourth proportional to 12,961.14, 17,883.34 and 7,656.75 is: 10,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.14 : 17,883.34 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    12,961.14/17,883.34 = 7,656.75/x
  3. Step 3: Cross multiply
    12,961.14x = 17,883.34 × 7,656.75
  4. Step 4: Simplify right side
    12,961.14x = 136,928,263.55
  5. Step 5: Solve for x
    x = 136,928,263.55/12,961.14
  6. Step 6: Final answer
    x = 10,564.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.