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Finding the Fourth Proportional to 8,298.41, 12,441.42 and 3,617.53

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Solution

The fourth proportional to 8,298.41, 12,441.42 and 3,617.53 is: 5,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.41 : 12,441.42 = 3,617.53 : x
  2. Step 2: Convert to fraction form
    8,298.41/12,441.42 = 3,617.53/x
  3. Step 3: Cross multiply
    8,298.41x = 12,441.42 × 3,617.53
  4. Step 4: Simplify right side
    8,298.41x = 45,007,210.09
  5. Step 5: Solve for x
    x = 45,007,210.09/8,298.41
  6. Step 6: Final answer
    x = 5,423.59

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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.