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Finding the Fourth Proportional to 7,639.80, 11,444.88 and 5,634.86

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Solution

The fourth proportional to 7,639.80, 11,444.88 and 5,634.86 is: 8,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.80 : 11,444.88 = 5,634.86 : x
  2. Step 2: Convert to fraction form
    7,639.80/11,444.88 = 5,634.86/x
  3. Step 3: Cross multiply
    7,639.80x = 11,444.88 × 5,634.86
  4. Step 4: Simplify right side
    7,639.80x = 64,490,239.29
  5. Step 5: Solve for x
    x = 64,490,239.29/7,639.80
  6. Step 6: Final answer
    x = 8,441.35

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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.