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Finding the Fourth Proportional to 8,602.56, 11,875.92 and 6,086.64

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Solution

The fourth proportional to 8,602.56, 11,875.92 and 6,086.64 is: 8,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.56 : 11,875.92 = 6,086.64 : x
  2. Step 2: Convert to fraction form
    8,602.56/11,875.92 = 6,086.64/x
  3. Step 3: Cross multiply
    8,602.56x = 11,875.92 × 6,086.64
  4. Step 4: Simplify right side
    8,602.56x = 72,284,449.71
  5. Step 5: Solve for x
    x = 72,284,449.71/8,602.56
  6. Step 6: Final answer
    x = 8,402.67

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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.