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Finding the Fourth Proportional to 10,806.02, 16,203.16 and 4,875.96

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Solution

The fourth proportional to 10,806.02, 16,203.16 and 4,875.96 is: 7,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.02 : 16,203.16 = 4,875.96 : x
  2. Step 2: Convert to fraction form
    10,806.02/16,203.16 = 4,875.96/x
  3. Step 3: Cross multiply
    10,806.02x = 16,203.16 × 4,875.96
  4. Step 4: Simplify right side
    10,806.02x = 79,005,960.03
  5. Step 5: Solve for x
    x = 79,005,960.03/10,806.02
  6. Step 6: Final answer
    x = 7,311.29

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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.