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Finding the Fourth Proportional to 12,708.06, 17,537.10 and 7,042.84

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Solution

The fourth proportional to 12,708.06, 17,537.10 and 7,042.84 is: 9,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.06 : 17,537.10 = 7,042.84 : x
  2. Step 2: Convert to fraction form
    12,708.06/17,537.10 = 7,042.84/x
  3. Step 3: Cross multiply
    12,708.06x = 17,537.10 × 7,042.84
  4. Step 4: Simplify right side
    12,708.06x = 123,510,989.36
  5. Step 5: Solve for x
    x = 123,510,989.36/12,708.06
  6. Step 6: Final answer
    x = 9,719.11

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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.