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Finding the Fourth Proportional to 10,201.60, 15,302.92 and 2,805.88

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Solution

The fourth proportional to 10,201.60, 15,302.92 and 2,805.88 is: 4,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.60 : 15,302.92 = 2,805.88 : x
  2. Step 2: Convert to fraction form
    10,201.60/15,302.92 = 2,805.88/x
  3. Step 3: Cross multiply
    10,201.60x = 15,302.92 × 2,805.88
  4. Step 4: Simplify right side
    10,201.60x = 42,938,157.17
  5. Step 5: Solve for x
    x = 42,938,157.17/10,201.60
  6. Step 6: Final answer
    x = 4,208.96

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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.