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Finding the Fourth Proportional to 7,790.86, 11,686.40 and 2,244.30

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Solution

The fourth proportional to 7,790.86, 11,686.40 and 2,244.30 is: 3,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.86 : 11,686.40 = 2,244.30 : x
  2. Step 2: Convert to fraction form
    7,790.86/11,686.40 = 2,244.30/x
  3. Step 3: Cross multiply
    7,790.86x = 11,686.40 × 2,244.30
  4. Step 4: Simplify right side
    7,790.86x = 26,227,787.52
  5. Step 5: Solve for x
    x = 26,227,787.52/7,790.86
  6. Step 6: Final answer
    x = 3,366.48

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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.