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Finding the Fourth Proportional to 7,709.23, 11,554.25 and 4,009.28

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Solution

The fourth proportional to 7,709.23, 11,554.25 and 4,009.28 is: 6,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.23 : 11,554.25 = 4,009.28 : x
  2. Step 2: Convert to fraction form
    7,709.23/11,554.25 = 4,009.28/x
  3. Step 3: Cross multiply
    7,709.23x = 11,554.25 × 4,009.28
  4. Step 4: Simplify right side
    7,709.23x = 46,324,223.44
  5. Step 5: Solve for x
    x = 46,324,223.44/7,709.23
  6. Step 6: Final answer
    x = 6,008.93

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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.