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Finding the Fourth Proportional to 8,486.86, 11,707.59 and 5,687.50

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Solution

The fourth proportional to 8,486.86, 11,707.59 and 5,687.50 is: 7,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.86 : 11,707.59 = 5,687.50 : x
  2. Step 2: Convert to fraction form
    8,486.86/11,707.59 = 5,687.50/x
  3. Step 3: Cross multiply
    8,486.86x = 11,707.59 × 5,687.50
  4. Step 4: Simplify right side
    8,486.86x = 66,586,918.13
  5. Step 5: Solve for x
    x = 66,586,918.13/8,486.86
  6. Step 6: Final answer
    x = 7,845.88

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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.