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Finding the Fourth Proportional to 11,656.74, 16,080.33 and 7,625.94

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Solution

The fourth proportional to 11,656.74, 16,080.33 and 7,625.94 is: 10,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.74 : 16,080.33 = 7,625.94 : x
  2. Step 2: Convert to fraction form
    11,656.74/16,080.33 = 7,625.94/x
  3. Step 3: Cross multiply
    11,656.74x = 16,080.33 × 7,625.94
  4. Step 4: Simplify right side
    11,656.74x = 122,627,631.76
  5. Step 5: Solve for x
    x = 122,627,631.76/11,656.74
  6. Step 6: Final answer
    x = 10,519.89

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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.