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Finding the Fourth Proportional to 10,533, 15,794.88 and 3,954.57

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Solution

The fourth proportional to 10,533, 15,794.88 and 3,954.57 is: 5,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533 : 15,794.88 = 3,954.57 : x
  2. Step 2: Convert to fraction form
    10,533/15,794.88 = 3,954.57/x
  3. Step 3: Cross multiply
    10,533x = 15,794.88 × 3,954.57
  4. Step 4: Simplify right side
    10,533x = 62,461,958.60
  5. Step 5: Solve for x
    x = 62,461,958.60/10,533
  6. Step 6: Final answer
    x = 5,930.12

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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.