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Finding the Fourth Proportional to 10,206.20, 15,308.90 and 2,810.50

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Solution

The fourth proportional to 10,206.20, 15,308.90 and 2,810.50 is: 4,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.20 : 15,308.90 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    10,206.20/15,308.90 = 2,810.50/x
  3. Step 3: Cross multiply
    10,206.20x = 15,308.90 × 2,810.50
  4. Step 4: Simplify right side
    10,206.20x = 43,025,663.45
  5. Step 5: Solve for x
    x = 43,025,663.45/10,206.20
  6. Step 6: Final answer
    x = 4,215.64

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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.