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Finding the Fourth Proportional to 12,160.04, 16,778.94 and 6,854.00

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Solution

The fourth proportional to 12,160.04, 16,778.94 and 6,854.00 is: 9,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.04 : 16,778.94 = 6,854.00 : x
  2. Step 2: Convert to fraction form
    12,160.04/16,778.94 = 6,854.00/x
  3. Step 3: Cross multiply
    12,160.04x = 16,778.94 × 6,854.00
  4. Step 4: Simplify right side
    12,160.04x = 115,002,770.87
  5. Step 5: Solve for x
    x = 115,002,770.87/12,160.04
  6. Step 6: Final answer
    x = 9,457.44

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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.