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Finding the Fourth Proportional to 10,203.46, 15,303.15 and 3,182.33

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Solution

The fourth proportional to 10,203.46, 15,303.15 and 3,182.33 is: 4,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.46 : 15,303.15 = 3,182.33 : x
  2. Step 2: Convert to fraction form
    10,203.46/15,303.15 = 3,182.33/x
  3. Step 3: Cross multiply
    10,203.46x = 15,303.15 × 3,182.33
  4. Step 4: Simplify right side
    10,203.46x = 48,699,711.60
  5. Step 5: Solve for x
    x = 48,699,711.60/10,203.46
  6. Step 6: Final answer
    x = 4,772.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.