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Finding the Fourth Proportional to 10,832.29, 16,254.81 and 4,591.84

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Solution

The fourth proportional to 10,832.29, 16,254.81 and 4,591.84 is: 6,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.29 : 16,254.81 = 4,591.84 : x
  2. Step 2: Convert to fraction form
    10,832.29/16,254.81 = 4,591.84/x
  3. Step 3: Cross multiply
    10,832.29x = 16,254.81 × 4,591.84
  4. Step 4: Simplify right side
    10,832.29x = 74,639,486.75
  5. Step 5: Solve for x
    x = 74,639,486.75/10,832.29
  6. Step 6: Final answer
    x = 6,890.46

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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.