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Finding the Fourth Proportional to 10,241.50, 15,364.68 and 3,316

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Solution

The fourth proportional to 10,241.50, 15,364.68 and 3,316 is: 4,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.50 : 15,364.68 = 3,316 : x
  2. Step 2: Convert to fraction form
    10,241.50/15,364.68 = 3,316/x
  3. Step 3: Cross multiply
    10,241.50x = 15,364.68 × 3,316
  4. Step 4: Simplify right side
    10,241.50x = 50,949,278.88
  5. Step 5: Solve for x
    x = 50,949,278.88/10,241.50
  6. Step 6: Final answer
    x = 4,974.79

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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.