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Finding the Fourth Proportional to 7,166.60, 10,741.68 and 3,005.84

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Solution

The fourth proportional to 7,166.60, 10,741.68 and 3,005.84 is: 4,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.60 : 10,741.68 = 3,005.84 : x
  2. Step 2: Convert to fraction form
    7,166.60/10,741.68 = 3,005.84/x
  3. Step 3: Cross multiply
    7,166.60x = 10,741.68 × 3,005.84
  4. Step 4: Simplify right side
    7,166.60x = 32,287,771.41
  5. Step 5: Solve for x
    x = 32,287,771.41/7,166.60
  6. Step 6: Final answer
    x = 4,505.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.