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Finding the Fourth Proportional to 7,826.58, 11,740.95 and 3,208.50

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Solution

The fourth proportional to 7,826.58, 11,740.95 and 3,208.50 is: 4,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.58 : 11,740.95 = 3,208.50 : x
  2. Step 2: Convert to fraction form
    7,826.58/11,740.95 = 3,208.50/x
  3. Step 3: Cross multiply
    7,826.58x = 11,740.95 × 3,208.50
  4. Step 4: Simplify right side
    7,826.58x = 37,670,838.08
  5. Step 5: Solve for x
    x = 37,670,838.08/7,826.58
  6. Step 6: Final answer
    x = 4,813.19

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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.