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Finding the Fourth Proportional to 10,203.41, 15,305.31 and 2,807.84

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Solution

The fourth proportional to 10,203.41, 15,305.31 and 2,807.84 is: 4,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.41 : 15,305.31 = 2,807.84 : x
  2. Step 2: Convert to fraction form
    10,203.41/15,305.31 = 2,807.84/x
  3. Step 3: Cross multiply
    10,203.41x = 15,305.31 × 2,807.84
  4. Step 4: Simplify right side
    10,203.41x = 42,974,861.63
  5. Step 5: Solve for x
    x = 42,974,861.63/10,203.41
  6. Step 6: Final answer
    x = 4,211.81

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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.