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Finding the Fourth Proportional to 8,289.84, 11,439.58 and 4,932.60

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Solution

The fourth proportional to 8,289.84, 11,439.58 and 4,932.60 is: 6,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 11,439.58 = 4,932.60 : x
  2. Step 2: Convert to fraction form
    8,289.84/11,439.58 = 4,932.60/x
  3. Step 3: Cross multiply
    8,289.84x = 11,439.58 × 4,932.60
  4. Step 4: Simplify right side
    8,289.84x = 56,426,826.33
  5. Step 5: Solve for x
    x = 56,426,826.33/8,289.84
  6. Step 6: Final answer
    x = 6,806.74

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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.