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Finding the Fourth Proportional to 10,875.92, 16,324.68 and 5,033.84

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Solution

The fourth proportional to 10,875.92, 16,324.68 and 5,033.84 is: 7,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.92 : 16,324.68 = 5,033.84 : x
  2. Step 2: Convert to fraction form
    10,875.92/16,324.68 = 5,033.84/x
  3. Step 3: Cross multiply
    10,875.92x = 16,324.68 × 5,033.84
  4. Step 4: Simplify right side
    10,875.92x = 82,175,827.17
  5. Step 5: Solve for x
    x = 82,175,827.17/10,875.92
  6. Step 6: Final answer
    x = 7,555.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.