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Finding the Fourth Proportional to 10,724.84, 16,085.68 and 5,457.68

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Solution

The fourth proportional to 10,724.84, 16,085.68 and 5,457.68 is: 8,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.84 : 16,085.68 = 5,457.68 : x
  2. Step 2: Convert to fraction form
    10,724.84/16,085.68 = 5,457.68/x
  3. Step 3: Cross multiply
    10,724.84x = 16,085.68 × 5,457.68
  4. Step 4: Simplify right side
    10,724.84x = 87,790,494.02
  5. Step 5: Solve for x
    x = 87,790,494.02/10,724.84
  6. Step 6: Final answer
    x = 8,185.72

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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.