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Finding the Fourth Proportional to 12,158.52, 16,778.84 and 6,853.43

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Solution

The fourth proportional to 12,158.52, 16,778.84 and 6,853.43 is: 9,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.52 : 16,778.84 = 6,853.43 : x
  2. Step 2: Convert to fraction form
    12,158.52/16,778.84 = 6,853.43/x
  3. Step 3: Cross multiply
    12,158.52x = 16,778.84 × 6,853.43
  4. Step 4: Simplify right side
    12,158.52x = 114,992,487.26
  5. Step 5: Solve for x
    x = 114,992,487.26/12,158.52
  6. Step 6: Final answer
    x = 9,457.77

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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.