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Finding the Fourth Proportional to 8,409.68, 11,604.84 and 4,683.92

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Solution

The fourth proportional to 8,409.68, 11,604.84 and 4,683.92 is: 6,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.68 : 11,604.84 = 4,683.92 : x
  2. Step 2: Convert to fraction form
    8,409.68/11,604.84 = 4,683.92/x
  3. Step 3: Cross multiply
    8,409.68x = 11,604.84 × 4,683.92
  4. Step 4: Simplify right side
    8,409.68x = 54,356,142.17
  5. Step 5: Solve for x
    x = 54,356,142.17/8,409.68
  6. Step 6: Final answer
    x = 6,463.52

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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.