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Finding the Fourth Proportional to 10,576.40, 15,848.08 and 3,999

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Solution

The fourth proportional to 10,576.40, 15,848.08 and 3,999 is: 5,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.40 : 15,848.08 = 3,999 : x
  2. Step 2: Convert to fraction form
    10,576.40/15,848.08 = 3,999/x
  3. Step 3: Cross multiply
    10,576.40x = 15,848.08 × 3,999
  4. Step 4: Simplify right side
    10,576.40x = 63,376,471.92
  5. Step 5: Solve for x
    x = 63,376,471.92/10,576.40
  6. Step 6: Final answer
    x = 5,992.25

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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.