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Finding the Fourth Proportional to 11,775.45, 17,669.24 and 6,509.49

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Solution

The fourth proportional to 11,775.45, 17,669.24 and 6,509.49 is: 9,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.45 : 17,669.24 = 6,509.49 : x
  2. Step 2: Convert to fraction form
    11,775.45/17,669.24 = 6,509.49/x
  3. Step 3: Cross multiply
    11,775.45x = 17,669.24 × 6,509.49
  4. Step 4: Simplify right side
    11,775.45x = 115,017,666.69
  5. Step 5: Solve for x
    x = 115,017,666.69/11,775.45
  6. Step 6: Final answer
    x = 9,767.58

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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.