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Finding the Fourth Proportional to 10,420.80, 15,630.84 and 3,495.12

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Solution

The fourth proportional to 10,420.80, 15,630.84 and 3,495.12 is: 5,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.80 : 15,630.84 = 3,495.12 : x
  2. Step 2: Convert to fraction form
    10,420.80/15,630.84 = 3,495.12/x
  3. Step 3: Cross multiply
    10,420.80x = 15,630.84 × 3,495.12
  4. Step 4: Simplify right side
    10,420.80x = 54,631,661.50
  5. Step 5: Solve for x
    x = 54,631,661.50/10,420.80
  6. Step 6: Final answer
    x = 5,242.56

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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.