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Finding the Fourth Proportional to 12,158.43, 16,779.21 and 6,853.47

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Solution

The fourth proportional to 12,158.43, 16,779.21 and 6,853.47 is: 9,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.43 : 16,779.21 = 6,853.47 : x
  2. Step 2: Convert to fraction form
    12,158.43/16,779.21 = 6,853.47/x
  3. Step 3: Cross multiply
    12,158.43x = 16,779.21 × 6,853.47
  4. Step 4: Simplify right side
    12,158.43x = 114,995,812.36
  5. Step 5: Solve for x
    x = 114,995,812.36/12,158.43
  6. Step 6: Final answer
    x = 9,458.11

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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.