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Finding the Fourth Proportional to 12,706.28, 17,534.76 and 7,041.12

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Solution

The fourth proportional to 12,706.28, 17,534.76 and 7,041.12 is: 9,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.28 : 17,534.76 = 7,041.12 : x
  2. Step 2: Convert to fraction form
    12,706.28/17,534.76 = 7,041.12/x
  3. Step 3: Cross multiply
    12,706.28x = 17,534.76 × 7,041.12
  4. Step 4: Simplify right side
    12,706.28x = 123,464,321.16
  5. Step 5: Solve for x
    x = 123,464,321.16/12,706.28
  6. Step 6: Final answer
    x = 9,716.80

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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.