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Finding the Fourth Proportional to 8,084, 11,158.80 and 4,772

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Solution

The fourth proportional to 8,084, 11,158.80 and 4,772 is: 6,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 11,158.80 = 4,772 : x
  2. Step 2: Convert to fraction form
    8,084/11,158.80 = 4,772/x
  3. Step 3: Cross multiply
    8,084x = 11,158.80 × 4,772
  4. Step 4: Simplify right side
    8,084x = 53,249,793.60
  5. Step 5: Solve for x
    x = 53,249,793.60/8,084
  6. Step 6: Final answer
    x = 6,587.06

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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.