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Finding the Fourth Proportional to 12,743.58, 17,586.57 and 7,078.40

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Solution

The fourth proportional to 12,743.58, 17,586.57 and 7,078.40 is: 9,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.58 : 17,586.57 = 7,078.40 : x
  2. Step 2: Convert to fraction form
    12,743.58/17,586.57 = 7,078.40/x
  3. Step 3: Cross multiply
    12,743.58x = 17,586.57 × 7,078.40
  4. Step 4: Simplify right side
    12,743.58x = 124,484,777.09
  5. Step 5: Solve for x
    x = 124,484,777.09/12,743.58
  6. Step 6: Final answer
    x = 9,768.43

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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.