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Finding the Fourth Proportional to 12,784.11, 17,641.02 and 7,118.43

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Solution

The fourth proportional to 12,784.11, 17,641.02 and 7,118.43 is: 9,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.11 : 17,641.02 = 7,118.43 : x
  2. Step 2: Convert to fraction form
    12,784.11/17,641.02 = 7,118.43/x
  3. Step 3: Cross multiply
    12,784.11x = 17,641.02 × 7,118.43
  4. Step 4: Simplify right side
    12,784.11x = 125,576,366.00
  5. Step 5: Solve for x
    x = 125,576,366.00/12,784.11
  6. Step 6: Final answer
    x = 9,822.85

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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.