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Finding the Fourth Proportional to 12,582.72, 18,854.40 and 7,956

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Solution

The fourth proportional to 12,582.72, 18,854.40 and 7,956 is: 11,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.72 : 18,854.40 = 7,956 : x
  2. Step 2: Convert to fraction form
    12,582.72/18,854.40 = 7,956/x
  3. Step 3: Cross multiply
    12,582.72x = 18,854.40 × 7,956
  4. Step 4: Simplify right side
    12,582.72x = 150,005,606.40
  5. Step 5: Solve for x
    x = 150,005,606.40/12,582.72
  6. Step 6: Final answer
    x = 11,921.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.