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Finding the Fourth Proportional to 8,178.86, 11,298.22 and 7,875.42

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Solution

The fourth proportional to 8,178.86, 11,298.22 and 7,875.42 is: 10,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.86 : 11,298.22 = 7,875.42 : x
  2. Step 2: Convert to fraction form
    8,178.86/11,298.22 = 7,875.42/x
  3. Step 3: Cross multiply
    8,178.86x = 11,298.22 × 7,875.42
  4. Step 4: Simplify right side
    8,178.86x = 88,978,227.75
  5. Step 5: Solve for x
    x = 88,978,227.75/8,178.86
  6. Step 6: Final answer
    x = 10,879.05

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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.