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Finding the Fourth Proportional to 10,203.66, 15,303.50 and 2,806.22

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Solution

The fourth proportional to 10,203.66, 15,303.50 and 2,806.22 is: 4,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.66 : 15,303.50 = 2,806.22 : x
  2. Step 2: Convert to fraction form
    10,203.66/15,303.50 = 2,806.22/x
  3. Step 3: Cross multiply
    10,203.66x = 15,303.50 × 2,806.22
  4. Step 4: Simplify right side
    10,203.66x = 42,944,987.77
  5. Step 5: Solve for x
    x = 42,944,987.77/10,203.66
  6. Step 6: Final answer
    x = 4,208.78

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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.