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Finding the Fourth Proportional to 10,203.68, 15,307.05 and 3,628.29

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Solution

The fourth proportional to 10,203.68, 15,307.05 and 3,628.29 is: 5,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.68 : 15,307.05 = 3,628.29 : x
  2. Step 2: Convert to fraction form
    10,203.68/15,307.05 = 3,628.29/x
  3. Step 3: Cross multiply
    10,203.68x = 15,307.05 × 3,628.29
  4. Step 4: Simplify right side
    10,203.68x = 55,538,416.44
  5. Step 5: Solve for x
    x = 55,538,416.44/10,203.68
  6. Step 6: Final answer
    x = 5,442.98

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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.