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Finding the Fourth Proportional to 11,912.71, 17,875.16 and 5,253.85

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Solution

The fourth proportional to 11,912.71, 17,875.16 and 5,253.85 is: 7,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.71 : 17,875.16 = 5,253.85 : x
  2. Step 2: Convert to fraction form
    11,912.71/17,875.16 = 5,253.85/x
  3. Step 3: Cross multiply
    11,912.71x = 17,875.16 × 5,253.85
  4. Step 4: Simplify right side
    11,912.71x = 93,913,358.11
  5. Step 5: Solve for x
    x = 93,913,358.11/11,912.71
  6. Step 6: Final answer
    x = 7,883.46

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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.