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Finding the Fourth Proportional to 8,669.72, 11,965.32 and 5,688.08

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Solution

The fourth proportional to 8,669.72, 11,965.32 and 5,688.08 is: 7,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.72 : 11,965.32 = 5,688.08 : x
  2. Step 2: Convert to fraction form
    8,669.72/11,965.32 = 5,688.08/x
  3. Step 3: Cross multiply
    8,669.72x = 11,965.32 × 5,688.08
  4. Step 4: Simplify right side
    8,669.72x = 68,059,697.39
  5. Step 5: Solve for x
    x = 68,059,697.39/8,669.72
  6. Step 6: Final answer
    x = 7,850.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.