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Finding the Fourth Proportional to 10,210.60, 15,308.70 and 3,968.20

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Solution

The fourth proportional to 10,210.60, 15,308.70 and 3,968.20 is: 5,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.60 : 15,308.70 = 3,968.20 : x
  2. Step 2: Convert to fraction form
    10,210.60/15,308.70 = 3,968.20/x
  3. Step 3: Cross multiply
    10,210.60x = 15,308.70 × 3,968.20
  4. Step 4: Simplify right side
    10,210.60x = 60,747,983.34
  5. Step 5: Solve for x
    x = 60,747,983.34/10,210.60
  6. Step 6: Final answer
    x = 5,949.50

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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.