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Finding the Fourth Proportional to 10,875.50, 16,313.19 and 3,084.32

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Solution

The fourth proportional to 10,875.50, 16,313.19 and 3,084.32 is: 4,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.50 : 16,313.19 = 3,084.32 : x
  2. Step 2: Convert to fraction form
    10,875.50/16,313.19 = 3,084.32/x
  3. Step 3: Cross multiply
    10,875.50x = 16,313.19 × 3,084.32
  4. Step 4: Simplify right side
    10,875.50x = 50,315,005.05
  5. Step 5: Solve for x
    x = 50,315,005.05/10,875.50
  6. Step 6: Final answer
    x = 4,626.45

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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.