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Finding the Fourth Proportional to 11,588.16, 15,991.64 and 6,282.94

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Solution

The fourth proportional to 11,588.16, 15,991.64 and 6,282.94 is: 8,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.16 : 15,991.64 = 6,282.94 : x
  2. Step 2: Convert to fraction form
    11,588.16/15,991.64 = 6,282.94/x
  3. Step 3: Cross multiply
    11,588.16x = 15,991.64 × 6,282.94
  4. Step 4: Simplify right side
    11,588.16x = 100,474,514.62
  5. Step 5: Solve for x
    x = 100,474,514.62/11,588.16
  6. Step 6: Final answer
    x = 8,670.45

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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.