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Finding the Fourth Proportional to 11,588.01, 15,991.47 and 6,282.83

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Solution

The fourth proportional to 11,588.01, 15,991.47 and 6,282.83 is: 8,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.01 : 15,991.47 = 6,282.83 : x
  2. Step 2: Convert to fraction form
    11,588.01/15,991.47 = 6,282.83/x
  3. Step 3: Cross multiply
    11,588.01x = 15,991.47 × 6,282.83
  4. Step 4: Simplify right side
    11,588.01x = 100,471,607.50
  5. Step 5: Solve for x
    x = 100,471,607.50/11,588.01
  6. Step 6: Final answer
    x = 8,670.31

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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.