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Finding the Fourth Proportional to 8,586.27, 11,875.14 and 7,701.75

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Solution

The fourth proportional to 8,586.27, 11,875.14 and 7,701.75 is: 10,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.27 : 11,875.14 = 7,701.75 : x
  2. Step 2: Convert to fraction form
    8,586.27/11,875.14 = 7,701.75/x
  3. Step 3: Cross multiply
    8,586.27x = 11,875.14 × 7,701.75
  4. Step 4: Simplify right side
    8,586.27x = 91,459,359.50
  5. Step 5: Solve for x
    x = 91,459,359.50/8,586.27
  6. Step 6: Final answer
    x = 10,651.81

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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.