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Finding the Fourth Proportional to 11,312.34, 16,964.53 and 3,914.80

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Solution

The fourth proportional to 11,312.34, 16,964.53 and 3,914.80 is: 5,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.34 : 16,964.53 = 3,914.80 : x
  2. Step 2: Convert to fraction form
    11,312.34/16,964.53 = 3,914.80/x
  3. Step 3: Cross multiply
    11,312.34x = 16,964.53 × 3,914.80
  4. Step 4: Simplify right side
    11,312.34x = 66,412,742.04
  5. Step 5: Solve for x
    x = 66,412,742.04/11,312.34
  6. Step 6: Final answer
    x = 5,870.82

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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.