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Finding the Fourth Proportional to 12,706.28, 17,534.40 and 7,040.98

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Solution

The fourth proportional to 12,706.28, 17,534.40 and 7,040.98 is: 9,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.28 : 17,534.40 = 7,040.98 : x
  2. Step 2: Convert to fraction form
    12,706.28/17,534.40 = 7,040.98/x
  3. Step 3: Cross multiply
    12,706.28x = 17,534.40 × 7,040.98
  4. Step 4: Simplify right side
    12,706.28x = 123,459,315.88
  5. Step 5: Solve for x
    x = 123,459,315.88/12,706.28
  6. Step 6: Final answer
    x = 9,716.41

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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.