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Finding the Fourth Proportional to 7,707.40, 11,505.34 and 6,773.24

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Solution

The fourth proportional to 7,707.40, 11,505.34 and 6,773.24 is: 10,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.40 : 11,505.34 = 6,773.24 : x
  2. Step 2: Convert to fraction form
    7,707.40/11,505.34 = 6,773.24/x
  3. Step 3: Cross multiply
    7,707.40x = 11,505.34 × 6,773.24
  4. Step 4: Simplify right side
    7,707.40x = 77,928,429.10
  5. Step 5: Solve for x
    x = 77,928,429.10/7,707.40
  6. Step 6: Final answer
    x = 10,110.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.