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Finding the Fourth Proportional to 8,816.84, 12,167.08 and 4,838

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Solution

The fourth proportional to 8,816.84, 12,167.08 and 4,838 is: 6,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.84 : 12,167.08 = 4,838 : x
  2. Step 2: Convert to fraction form
    8,816.84/12,167.08 = 4,838/x
  3. Step 3: Cross multiply
    8,816.84x = 12,167.08 × 4,838
  4. Step 4: Simplify right side
    8,816.84x = 58,864,333.04
  5. Step 5: Solve for x
    x = 58,864,333.04/8,816.84
  6. Step 6: Final answer
    x = 6,676.35

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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.