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Finding the Fourth Proportional to 10,901.30, 16,353.15 and 3,977.30

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Solution

The fourth proportional to 10,901.30, 16,353.15 and 3,977.30 is: 5,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.30 : 16,353.15 = 3,977.30 : x
  2. Step 2: Convert to fraction form
    10,901.30/16,353.15 = 3,977.30/x
  3. Step 3: Cross multiply
    10,901.30x = 16,353.15 × 3,977.30
  4. Step 4: Simplify right side
    10,901.30x = 65,041,383.50
  5. Step 5: Solve for x
    x = 65,041,383.50/10,901.30
  6. Step 6: Final answer
    x = 5,966.39

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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.