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Finding the Fourth Proportional to 8,210.28, 12,304.06 and 7,111.92

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Solution

The fourth proportional to 8,210.28, 12,304.06 and 7,111.92 is: 10,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.28 : 12,304.06 = 7,111.92 : x
  2. Step 2: Convert to fraction form
    8,210.28/12,304.06 = 7,111.92/x
  3. Step 3: Cross multiply
    8,210.28x = 12,304.06 × 7,111.92
  4. Step 4: Simplify right side
    8,210.28x = 87,505,490.40
  5. Step 5: Solve for x
    x = 87,505,490.40/8,210.28
  6. Step 6: Final answer
    x = 10,658.04

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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.