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Finding the Fourth Proportional to 10,435.41, 15,653.83 and 4,195.42

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Solution

The fourth proportional to 10,435.41, 15,653.83 and 4,195.42 is: 6,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.41 : 15,653.83 = 4,195.42 : x
  2. Step 2: Convert to fraction form
    10,435.41/15,653.83 = 4,195.42/x
  3. Step 3: Cross multiply
    10,435.41x = 15,653.83 × 4,195.42
  4. Step 4: Simplify right side
    10,435.41x = 65,674,370.48
  5. Step 5: Solve for x
    x = 65,674,370.48/10,435.41
  6. Step 6: Final answer
    x = 6,293.42

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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.