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Finding the Fourth Proportional to 8,574.36, 12,864.30 and 4,192.20

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Solution

The fourth proportional to 8,574.36, 12,864.30 and 4,192.20 is: 6,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.36 : 12,864.30 = 4,192.20 : x
  2. Step 2: Convert to fraction form
    8,574.36/12,864.30 = 4,192.20/x
  3. Step 3: Cross multiply
    8,574.36x = 12,864.30 × 4,192.20
  4. Step 4: Simplify right side
    8,574.36x = 53,929,718.46
  5. Step 5: Solve for x
    x = 53,929,718.46/8,574.36
  6. Step 6: Final answer
    x = 6,289.65

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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.