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Finding the Fourth Proportional to 10,298.50, 15,447.60 and 3,278.95

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Solution

The fourth proportional to 10,298.50, 15,447.60 and 3,278.95 is: 4,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.50 : 15,447.60 = 3,278.95 : x
  2. Step 2: Convert to fraction form
    10,298.50/15,447.60 = 3,278.95/x
  3. Step 3: Cross multiply
    10,298.50x = 15,447.60 × 3,278.95
  4. Step 4: Simplify right side
    10,298.50x = 50,651,869.40
  5. Step 5: Solve for x
    x = 50,651,869.40/10,298.50
  6. Step 6: Final answer
    x = 4,918.37

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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.