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Finding the Fourth Proportional to 10,875.80, 16,314.32 and 3,084

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Solution

The fourth proportional to 10,875.80, 16,314.32 and 3,084 is: 4,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.80 : 16,314.32 = 3,084 : x
  2. Step 2: Convert to fraction form
    10,875.80/16,314.32 = 3,084/x
  3. Step 3: Cross multiply
    10,875.80x = 16,314.32 × 3,084
  4. Step 4: Simplify right side
    10,875.80x = 50,313,362.88
  5. Step 5: Solve for x
    x = 50,313,362.88/10,875.80
  6. Step 6: Final answer
    x = 4,626.18

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Why These Related Problems?

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