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Finding the Fourth Proportional to 7,877.54, 11,818.15 and 2,683.42

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Solution

The fourth proportional to 7,877.54, 11,818.15 and 2,683.42 is: 4,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.54 : 11,818.15 = 2,683.42 : x
  2. Step 2: Convert to fraction form
    7,877.54/11,818.15 = 2,683.42/x
  3. Step 3: Cross multiply
    7,877.54x = 11,818.15 × 2,683.42
  4. Step 4: Simplify right side
    7,877.54x = 31,713,023.82
  5. Step 5: Solve for x
    x = 31,713,023.82/7,877.54
  6. Step 6: Final answer
    x = 4,025.75

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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.