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Finding the Fourth Proportional to 10,401.68, 15,604.68 and 3,476

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Solution

The fourth proportional to 10,401.68, 15,604.68 and 3,476 is: 5,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.68 : 15,604.68 = 3,476 : x
  2. Step 2: Convert to fraction form
    10,401.68/15,604.68 = 3,476/x
  3. Step 3: Cross multiply
    10,401.68x = 15,604.68 × 3,476
  4. Step 4: Simplify right side
    10,401.68x = 54,241,867.68
  5. Step 5: Solve for x
    x = 54,241,867.68/10,401.68
  6. Step 6: Final answer
    x = 5,214.72

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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.