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Finding the Fourth Proportional to 12,708.10, 17,536.66 and 7,042.94

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Solution

The fourth proportional to 12,708.10, 17,536.66 and 7,042.94 is: 9,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.10 : 17,536.66 = 7,042.94 : x
  2. Step 2: Convert to fraction form
    12,708.10/17,536.66 = 7,042.94/x
  3. Step 3: Cross multiply
    12,708.10x = 17,536.66 × 7,042.94
  4. Step 4: Simplify right side
    12,708.10x = 123,509,644.18
  5. Step 5: Solve for x
    x = 123,509,644.18/12,708.10
  6. Step 6: Final answer
    x = 9,718.97

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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.