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Finding the Fourth Proportional to 8,365.35, 11,558.52 and 8,066

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Solution

The fourth proportional to 8,365.35, 11,558.52 and 8,066 is: 11,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.35 : 11,558.52 = 8,066 : x
  2. Step 2: Convert to fraction form
    8,365.35/11,558.52 = 8,066/x
  3. Step 3: Cross multiply
    8,365.35x = 11,558.52 × 8,066
  4. Step 4: Simplify right side
    8,365.35x = 93,231,022.32
  5. Step 5: Solve for x
    x = 93,231,022.32/8,365.35
  6. Step 6: Final answer
    x = 11,144.90

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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.