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Finding the Fourth Proportional to 12,715.97, 17,548.10 and 7,126.97

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Solution

The fourth proportional to 12,715.97, 17,548.10 and 7,126.97 is: 9,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.97 : 17,548.10 = 7,126.97 : x
  2. Step 2: Convert to fraction form
    12,715.97/17,548.10 = 7,126.97/x
  3. Step 3: Cross multiply
    12,715.97x = 17,548.10 × 7,126.97
  4. Step 4: Simplify right side
    12,715.97x = 125,064,658.88
  5. Step 5: Solve for x
    x = 125,064,658.88/12,715.97
  6. Step 6: Final answer
    x = 9,835.25

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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.