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Finding the Fourth Proportional to 10,483.62, 15,718.14 and 3,908.04

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Solution

The fourth proportional to 10,483.62, 15,718.14 and 3,908.04 is: 5,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.62 : 15,718.14 = 3,908.04 : x
  2. Step 2: Convert to fraction form
    10,483.62/15,718.14 = 3,908.04/x
  3. Step 3: Cross multiply
    10,483.62x = 15,718.14 × 3,908.04
  4. Step 4: Simplify right side
    10,483.62x = 61,427,119.85
  5. Step 5: Solve for x
    x = 61,427,119.85/10,483.62
  6. Step 6: Final answer
    x = 5,859.34

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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.