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Finding the Fourth Proportional to 8,371.29, 11,548.01 and 4,966.32

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Solution

The fourth proportional to 8,371.29, 11,548.01 and 4,966.32 is: 6,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.29 : 11,548.01 = 4,966.32 : x
  2. Step 2: Convert to fraction form
    8,371.29/11,548.01 = 4,966.32/x
  3. Step 3: Cross multiply
    8,371.29x = 11,548.01 × 4,966.32
  4. Step 4: Simplify right side
    8,371.29x = 57,351,113.02
  5. Step 5: Solve for x
    x = 57,351,113.02/8,371.29
  6. Step 6: Final answer
    x = 6,850.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.