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Finding the Fourth Proportional to 8,842.48, 12,202.88 and 5,066

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Solution

The fourth proportional to 8,842.48, 12,202.88 and 5,066 is: 6,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.48 : 12,202.88 = 5,066 : x
  2. Step 2: Convert to fraction form
    8,842.48/12,202.88 = 5,066/x
  3. Step 3: Cross multiply
    8,842.48x = 12,202.88 × 5,066
  4. Step 4: Simplify right side
    8,842.48x = 61,819,790.08
  5. Step 5: Solve for x
    x = 61,819,790.08/8,842.48
  6. Step 6: Final answer
    x = 6,991.23

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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.