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Finding the Fourth Proportional to 10,171.64, 14,037.09 and 7,192.82

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Solution

The fourth proportional to 10,171.64, 14,037.09 and 7,192.82 is: 9,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.64 : 14,037.09 = 7,192.82 : x
  2. Step 2: Convert to fraction form
    10,171.64/14,037.09 = 7,192.82/x
  3. Step 3: Cross multiply
    10,171.64x = 14,037.09 × 7,192.82
  4. Step 4: Simplify right side
    10,171.64x = 100,966,261.69
  5. Step 5: Solve for x
    x = 100,966,261.69/10,171.64
  6. Step 6: Final answer
    x = 9,926.25

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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.