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Finding the Fourth Proportional to 8,562, 11,816.64 and 4,836

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Solution

The fourth proportional to 8,562, 11,816.64 and 4,836 is: 6,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562 : 11,816.64 = 4,836 : x
  2. Step 2: Convert to fraction form
    8,562/11,816.64 = 4,836/x
  3. Step 3: Cross multiply
    8,562x = 11,816.64 × 4,836
  4. Step 4: Simplify right side
    8,562x = 57,145,271.04
  5. Step 5: Solve for x
    x = 57,145,271.04/8,562
  6. Step 6: Final answer
    x = 6,674.29

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Why These Related Problems?

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