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Finding the Fourth Proportional to 8,548, 11,796.40 and 4,771.16

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Solution

The fourth proportional to 8,548, 11,796.40 and 4,771.16 is: 6,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548 : 11,796.40 = 4,771.16 : x
  2. Step 2: Convert to fraction form
    8,548/11,796.40 = 4,771.16/x
  3. Step 3: Cross multiply
    8,548x = 11,796.40 × 4,771.16
  4. Step 4: Simplify right side
    8,548x = 56,282,511.82
  5. Step 5: Solve for x
    x = 56,282,511.82/8,548
  6. Step 6: Final answer
    x = 6,584.29

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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.