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Finding the Fourth Proportional to 8,260.76, 11,399.46 and 4,483.84

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Solution

The fourth proportional to 8,260.76, 11,399.46 and 4,483.84 is: 6,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.76 : 11,399.46 = 4,483.84 : x
  2. Step 2: Convert to fraction form
    8,260.76/11,399.46 = 4,483.84/x
  3. Step 3: Cross multiply
    8,260.76x = 11,399.46 × 4,483.84
  4. Step 4: Simplify right side
    8,260.76x = 51,113,354.73
  5. Step 5: Solve for x
    x = 51,113,354.73/8,260.76
  6. Step 6: Final answer
    x = 6,187.49

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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.