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Finding the Fourth Proportional to 8,221.77, 11,347.00 and 4,685.51

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Solution

The fourth proportional to 8,221.77, 11,347.00 and 4,685.51 is: 6,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.77 : 11,347.00 = 4,685.51 : x
  2. Step 2: Convert to fraction form
    8,221.77/11,347.00 = 4,685.51/x
  3. Step 3: Cross multiply
    8,221.77x = 11,347.00 × 4,685.51
  4. Step 4: Simplify right side
    8,221.77x = 53,166,498.62
  5. Step 5: Solve for x
    x = 53,166,498.62/8,221.77
  6. Step 6: Final answer
    x = 6,466.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.