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Finding the Fourth Proportional to 8,405.37, 11,599.68 and 4,628.81

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Solution

The fourth proportional to 8,405.37, 11,599.68 and 4,628.81 is: 6,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.37 : 11,599.68 = 4,628.81 : x
  2. Step 2: Convert to fraction form
    8,405.37/11,599.68 = 4,628.81/x
  3. Step 3: Cross multiply
    8,405.37x = 11,599.68 × 4,628.81
  4. Step 4: Simplify right side
    8,405.37x = 53,692,714.78
  5. Step 5: Solve for x
    x = 53,692,714.78/8,405.37
  6. Step 6: Final answer
    x = 6,387.91

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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.