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Finding the Fourth Proportional to 10,202.63, 15,302.18 and 2,805.33

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Solution

The fourth proportional to 10,202.63, 15,302.18 and 2,805.33 is: 4,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.63 : 15,302.18 = 2,805.33 : x
  2. Step 2: Convert to fraction form
    10,202.63/15,302.18 = 2,805.33/x
  3. Step 3: Cross multiply
    10,202.63x = 15,302.18 × 2,805.33
  4. Step 4: Simplify right side
    10,202.63x = 42,927,664.62
  5. Step 5: Solve for x
    x = 42,927,664.62/10,202.63
  6. Step 6: Final answer
    x = 4,207.51

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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.