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Finding the Fourth Proportional to 10,325.76, 15,468 and 4,771.44

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Solution

The fourth proportional to 10,325.76, 15,468 and 4,771.44 is: 7,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.76 : 15,468 = 4,771.44 : x
  2. Step 2: Convert to fraction form
    10,325.76/15,468 = 4,771.44/x
  3. Step 3: Cross multiply
    10,325.76x = 15,468 × 4,771.44
  4. Step 4: Simplify right side
    10,325.76x = 73,804,633.92
  5. Step 5: Solve for x
    x = 73,804,633.92/10,325.76
  6. Step 6: Final answer
    x = 7,147.62

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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.