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Finding the Fourth Proportional to 11,593.74, 15,999.35 and 6,288.59

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Solution

The fourth proportional to 11,593.74, 15,999.35 and 6,288.59 is: 8,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.74 : 15,999.35 = 6,288.59 : x
  2. Step 2: Convert to fraction form
    11,593.74/15,999.35 = 6,288.59/x
  3. Step 3: Cross multiply
    11,593.74x = 15,999.35 × 6,288.59
  4. Step 4: Simplify right side
    11,593.74x = 100,613,408.14
  5. Step 5: Solve for x
    x = 100,613,408.14/11,593.74
  6. Step 6: Final answer
    x = 8,678.25

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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.