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Finding the Fourth Proportional to 7,703.13, 11,557.83 and 2,773.16

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Solution

The fourth proportional to 7,703.13, 11,557.83 and 2,773.16 is: 4,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.13 : 11,557.83 = 2,773.16 : x
  2. Step 2: Convert to fraction form
    7,703.13/11,557.83 = 2,773.16/x
  3. Step 3: Cross multiply
    7,703.13x = 11,557.83 × 2,773.16
  4. Step 4: Simplify right side
    7,703.13x = 32,051,654.05
  5. Step 5: Solve for x
    x = 32,051,654.05/7,703.13
  6. Step 6: Final answer
    x = 4,160.86

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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.