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Finding the Fourth Proportional to 10,468, 15,700.84 and 3,072.52

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Solution

The fourth proportional to 10,468, 15,700.84 and 3,072.52 is: 4,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468 : 15,700.84 = 3,072.52 : x
  2. Step 2: Convert to fraction form
    10,468/15,700.84 = 3,072.52/x
  3. Step 3: Cross multiply
    10,468x = 15,700.84 × 3,072.52
  4. Step 4: Simplify right side
    10,468x = 48,241,144.92
  5. Step 5: Solve for x
    x = 48,241,144.92/10,468
  6. Step 6: Final answer
    x = 4,608.44

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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.