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Finding the Fourth Proportional to 12,867.06, 17,756.61 and 7,277.94

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Solution

The fourth proportional to 12,867.06, 17,756.61 and 7,277.94 is: 10,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.06 : 17,756.61 = 7,277.94 : x
  2. Step 2: Convert to fraction form
    12,867.06/17,756.61 = 7,277.94/x
  3. Step 3: Cross multiply
    12,867.06x = 17,756.61 × 7,277.94
  4. Step 4: Simplify right side
    12,867.06x = 129,231,542.18
  5. Step 5: Solve for x
    x = 129,231,542.18/12,867.06
  6. Step 6: Final answer
    x = 10,043.60

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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.