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Finding the Fourth Proportional to 10,271.63, 15,407.42 and 2,480.45

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Solution

The fourth proportional to 10,271.63, 15,407.42 and 2,480.45 is: 3,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.63 : 15,407.42 = 2,480.45 : x
  2. Step 2: Convert to fraction form
    10,271.63/15,407.42 = 2,480.45/x
  3. Step 3: Cross multiply
    10,271.63x = 15,407.42 × 2,480.45
  4. Step 4: Simplify right side
    10,271.63x = 38,217,245.50
  5. Step 5: Solve for x
    x = 38,217,245.50/10,271.63
  6. Step 6: Final answer
    x = 3,720.66

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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.