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Finding the Fourth Proportional to 7,892.46, 11,823.50 and 4,932.06

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Solution

The fourth proportional to 7,892.46, 11,823.50 and 4,932.06 is: 7,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.46 : 11,823.50 = 4,932.06 : x
  2. Step 2: Convert to fraction form
    7,892.46/11,823.50 = 4,932.06/x
  3. Step 3: Cross multiply
    7,892.46x = 11,823.50 × 4,932.06
  4. Step 4: Simplify right side
    7,892.46x = 58,314,211.41
  5. Step 5: Solve for x
    x = 58,314,211.41/7,892.46
  6. Step 6: Final answer
    x = 7,388.60

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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.