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Finding the Fourth Proportional to 10,875.51, 16,311.42 and 3,082.50

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Solution

The fourth proportional to 10,875.51, 16,311.42 and 3,082.50 is: 4,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.51 : 16,311.42 = 3,082.50 : x
  2. Step 2: Convert to fraction form
    10,875.51/16,311.42 = 3,082.50/x
  3. Step 3: Cross multiply
    10,875.51x = 16,311.42 × 3,082.50
  4. Step 4: Simplify right side
    10,875.51x = 50,279,952.15
  5. Step 5: Solve for x
    x = 50,279,952.15/10,875.51
  6. Step 6: Final answer
    x = 4,623.23

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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.