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Finding the Fourth Proportional to 7,674.86, 11,513.38 and 2,478.98

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Solution

The fourth proportional to 7,674.86, 11,513.38 and 2,478.98 is: 3,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.86 : 11,513.38 = 2,478.98 : x
  2. Step 2: Convert to fraction form
    7,674.86/11,513.38 = 2,478.98/x
  3. Step 3: Cross multiply
    7,674.86x = 11,513.38 × 2,478.98
  4. Step 4: Simplify right side
    7,674.86x = 28,541,438.75
  5. Step 5: Solve for x
    x = 28,541,438.75/7,674.86
  6. Step 6: Final answer
    x = 3,718.82

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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.