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Finding the Fourth Proportional to 11,725.76, 16,182.28 and 7,695

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Solution

The fourth proportional to 11,725.76, 16,182.28 and 7,695 is: 10,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.76 : 16,182.28 = 7,695 : x
  2. Step 2: Convert to fraction form
    11,725.76/16,182.28 = 7,695/x
  3. Step 3: Cross multiply
    11,725.76x = 16,182.28 × 7,695
  4. Step 4: Simplify right side
    11,725.76x = 124,522,654.22
  5. Step 5: Solve for x
    x = 124,522,654.22/11,725.76
  6. Step 6: Final answer
    x = 10,619.58

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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.