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Finding the Fourth Proportional to 7,059.42, 10,596.80 and 5,309.42

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Solution

The fourth proportional to 7,059.42, 10,596.80 and 5,309.42 is: 7,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.42 : 10,596.80 = 5,309.42 : x
  2. Step 2: Convert to fraction form
    7,059.42/10,596.80 = 5,309.42/x
  3. Step 3: Cross multiply
    7,059.42x = 10,596.80 × 5,309.42
  4. Step 4: Simplify right side
    7,059.42x = 56,262,861.86
  5. Step 5: Solve for x
    x = 56,262,861.86/7,059.42
  6. Step 6: Final answer
    x = 7,969.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.