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Finding the Fourth Proportional to 10,047.10, 15,069.16 and 2,652.08

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Solution

The fourth proportional to 10,047.10, 15,069.16 and 2,652.08 is: 3,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.10 : 15,069.16 = 2,652.08 : x
  2. Step 2: Convert to fraction form
    10,047.10/15,069.16 = 2,652.08/x
  3. Step 3: Cross multiply
    10,047.10x = 15,069.16 × 2,652.08
  4. Step 4: Simplify right side
    10,047.10x = 39,964,617.85
  5. Step 5: Solve for x
    x = 39,964,617.85/10,047.10
  6. Step 6: Final answer
    x = 3,977.73

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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.