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Finding the Fourth Proportional to 6,992.86, 10,527.56 and 6,380.50

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Solution

The fourth proportional to 6,992.86, 10,527.56 and 6,380.50 is: 9,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.86 : 10,527.56 = 6,380.50 : x
  2. Step 2: Convert to fraction form
    6,992.86/10,527.56 = 6,380.50/x
  3. Step 3: Cross multiply
    6,992.86x = 10,527.56 × 6,380.50
  4. Step 4: Simplify right side
    6,992.86x = 67,171,070.26
  5. Step 5: Solve for x
    x = 67,171,070.26/6,992.86
  6. Step 6: Final answer
    x = 9,605.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.