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Finding the Fourth Proportional to 10,206.03, 15,309.11 and 2,810.32

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Solution

The fourth proportional to 10,206.03, 15,309.11 and 2,810.32 is: 4,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.03 : 15,309.11 = 2,810.32 : x
  2. Step 2: Convert to fraction form
    10,206.03/15,309.11 = 2,810.32/x
  3. Step 3: Cross multiply
    10,206.03x = 15,309.11 × 2,810.32
  4. Step 4: Simplify right side
    10,206.03x = 43,023,498.02
  5. Step 5: Solve for x
    x = 43,023,498.02/10,206.03
  6. Step 6: Final answer
    x = 4,215.50

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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.