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Finding the Fourth Proportional to 10,401.04, 15,609 and 4,157.44

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Solution

The fourth proportional to 10,401.04, 15,609 and 4,157.44 is: 6,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.04 : 15,609 = 4,157.44 : x
  2. Step 2: Convert to fraction form
    10,401.04/15,609 = 4,157.44/x
  3. Step 3: Cross multiply
    10,401.04x = 15,609 × 4,157.44
  4. Step 4: Simplify right side
    10,401.04x = 64,893,480.96
  5. Step 5: Solve for x
    x = 64,893,480.96/10,401.04
  6. Step 6: Final answer
    x = 6,239.13

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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.