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Finding the Fourth Proportional to 10,468.83, 15,697.10 and 4,229.04

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Solution

The fourth proportional to 10,468.83, 15,697.10 and 4,229.04 is: 6,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.83 : 15,697.10 = 4,229.04 : x
  2. Step 2: Convert to fraction form
    10,468.83/15,697.10 = 4,229.04/x
  3. Step 3: Cross multiply
    10,468.83x = 15,697.10 × 4,229.04
  4. Step 4: Simplify right side
    10,468.83x = 66,383,642.64
  5. Step 5: Solve for x
    x = 66,383,642.64/10,468.83
  6. Step 6: Final answer
    x = 6,341.08

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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.