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Finding the Fourth Proportional to 8,405.68, 11,599.68 and 4,679.68

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Solution

The fourth proportional to 8,405.68, 11,599.68 and 4,679.68 is: 6,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.68 : 11,599.68 = 4,679.68 : x
  2. Step 2: Convert to fraction form
    8,405.68/11,599.68 = 4,679.68/x
  3. Step 3: Cross multiply
    8,405.68x = 11,599.68 × 4,679.68
  4. Step 4: Simplify right side
    8,405.68x = 54,282,790.50
  5. Step 5: Solve for x
    x = 54,282,790.50/8,405.68
  6. Step 6: Final answer
    x = 6,457.87

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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.