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Finding the Fourth Proportional to 11,709.56, 17,550.84 and 6,505.04

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Solution

The fourth proportional to 11,709.56, 17,550.84 and 6,505.04 is: 9,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 17,550.84 = 6,505.04 : x
  2. Step 2: Convert to fraction form
    11,709.56/17,550.84 = 6,505.04/x
  3. Step 3: Cross multiply
    11,709.56x = 17,550.84 × 6,505.04
  4. Step 4: Simplify right side
    11,709.56x = 114,168,916.23
  5. Step 5: Solve for x
    x = 114,168,916.23/11,709.56
  6. Step 6: Final answer
    x = 9,750.06

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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.