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Finding the Fourth Proportional to 8,166.51, 11,269.09 and 4,580.64

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Solution

The fourth proportional to 8,166.51, 11,269.09 and 4,580.64 is: 6,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.51 : 11,269.09 = 4,580.64 : x
  2. Step 2: Convert to fraction form
    8,166.51/11,269.09 = 4,580.64/x
  3. Step 3: Cross multiply
    8,166.51x = 11,269.09 × 4,580.64
  4. Step 4: Simplify right side
    8,166.51x = 51,619,644.42
  5. Step 5: Solve for x
    x = 51,619,644.42/8,166.51
  6. Step 6: Final answer
    x = 6,320.89

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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.