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Finding the Fourth Proportional to 8,308.48, 11,463.40 and 4,771.48

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Solution

The fourth proportional to 8,308.48, 11,463.40 and 4,771.48 is: 6,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.48 : 11,463.40 = 4,771.48 : x
  2. Step 2: Convert to fraction form
    8,308.48/11,463.40 = 4,771.48/x
  3. Step 3: Cross multiply
    8,308.48x = 11,463.40 × 4,771.48
  4. Step 4: Simplify right side
    8,308.48x = 54,697,383.83
  5. Step 5: Solve for x
    x = 54,697,383.83/8,308.48
  6. Step 6: Final answer
    x = 6,583.32

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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.