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Finding the Fourth Proportional to 10,202.88, 15,302.52 and 2,805.55

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Solution

The fourth proportional to 10,202.88, 15,302.52 and 2,805.55 is: 4,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.88 : 15,302.52 = 2,805.55 : x
  2. Step 2: Convert to fraction form
    10,202.88/15,302.52 = 2,805.55/x
  3. Step 3: Cross multiply
    10,202.88x = 15,302.52 × 2,805.55
  4. Step 4: Simplify right side
    10,202.88x = 42,932,032.81
  5. Step 5: Solve for x
    x = 42,932,032.81/10,202.88
  6. Step 6: Final answer
    x = 4,207.84

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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.