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Finding the Fourth Proportional to 12,710.77, 17,541.51 and 7,046.12

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Solution

The fourth proportional to 12,710.77, 17,541.51 and 7,046.12 is: 9,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.77 : 17,541.51 = 7,046.12 : x
  2. Step 2: Convert to fraction form
    12,710.77/17,541.51 = 7,046.12/x
  3. Step 3: Cross multiply
    12,710.77x = 17,541.51 × 7,046.12
  4. Step 4: Simplify right side
    12,710.77x = 123,599,584.44
  5. Step 5: Solve for x
    x = 123,599,584.44/12,710.77
  6. Step 6: Final answer
    x = 9,724.00

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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.