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Finding the Fourth Proportional to 11,593.84, 15,999.48 and 6,288.66

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Solution

The fourth proportional to 11,593.84, 15,999.48 and 6,288.66 is: 8,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.84 : 15,999.48 = 6,288.66 : x
  2. Step 2: Convert to fraction form
    11,593.84/15,999.48 = 6,288.66/x
  3. Step 3: Cross multiply
    11,593.84x = 15,999.48 × 6,288.66
  4. Step 4: Simplify right side
    11,593.84x = 100,615,289.90
  5. Step 5: Solve for x
    x = 100,615,289.90/11,593.84
  6. Step 6: Final answer
    x = 8,678.34

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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.