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Finding the Fourth Proportional to 10,974.42, 16,457.73 and 3,952.55

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Solution

The fourth proportional to 10,974.42, 16,457.73 and 3,952.55 is: 5,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.42 : 16,457.73 = 3,952.55 : x
  2. Step 2: Convert to fraction form
    10,974.42/16,457.73 = 3,952.55/x
  3. Step 3: Cross multiply
    10,974.42x = 16,457.73 × 3,952.55
  4. Step 4: Simplify right side
    10,974.42x = 65,050,000.71
  5. Step 5: Solve for x
    x = 65,050,000.71/10,974.42
  6. Step 6: Final answer
    x = 5,927.42

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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.