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Finding the Fourth Proportional to 12,158.67, 16,779.15 and 6,853.56

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Solution

The fourth proportional to 12,158.67, 16,779.15 and 6,853.56 is: 9,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.67 : 16,779.15 = 6,853.56 : x
  2. Step 2: Convert to fraction form
    12,158.67/16,779.15 = 6,853.56/x
  3. Step 3: Cross multiply
    12,158.67x = 16,779.15 × 6,853.56
  4. Step 4: Simplify right side
    12,158.67x = 114,996,911.27
  5. Step 5: Solve for x
    x = 114,996,911.27/12,158.67
  6. Step 6: Final answer
    x = 9,458.02

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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.