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Finding the Fourth Proportional to 12,652.50, 18,964.40 and 7,711.25

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Solution

The fourth proportional to 12,652.50, 18,964.40 and 7,711.25 is: 11,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.50 : 18,964.40 = 7,711.25 : x
  2. Step 2: Convert to fraction form
    12,652.50/18,964.40 = 7,711.25/x
  3. Step 3: Cross multiply
    12,652.50x = 18,964.40 × 7,711.25
  4. Step 4: Simplify right side
    12,652.50x = 146,239,096.12
  5. Step 5: Solve for x
    x = 146,239,096.12/12,652.50
  6. Step 6: Final answer
    x = 11,558.12

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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.