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Finding the Fourth Proportional to 10,435.40, 15,652.49 and 3,419.99

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Solution

The fourth proportional to 10,435.40, 15,652.49 and 3,419.99 is: 5,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.40 : 15,652.49 = 3,419.99 : x
  2. Step 2: Convert to fraction form
    10,435.40/15,652.49 = 3,419.99/x
  3. Step 3: Cross multiply
    10,435.40x = 15,652.49 × 3,419.99
  4. Step 4: Simplify right side
    10,435.40x = 53,531,263.91
  5. Step 5: Solve for x
    x = 53,531,263.91/10,435.40
  6. Step 6: Final answer
    x = 5,129.78

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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.