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Finding the Fourth Proportional to 10,207.80, 15,300.90 and 3,965.40

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Solution

The fourth proportional to 10,207.80, 15,300.90 and 3,965.40 is: 5,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.80 : 15,300.90 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    10,207.80/15,300.90 = 3,965.40/x
  3. Step 3: Cross multiply
    10,207.80x = 15,300.90 × 3,965.40
  4. Step 4: Simplify right side
    10,207.80x = 60,674,188.86
  5. Step 5: Solve for x
    x = 60,674,188.86/10,207.80
  6. Step 6: Final answer
    x = 5,943.90

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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.