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Finding the Fourth Proportional to 8,405.65, 11,596.32 and 5,001.98

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Solution

The fourth proportional to 8,405.65, 11,596.32 and 5,001.98 is: 6,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.65 : 11,596.32 = 5,001.98 : x
  2. Step 2: Convert to fraction form
    8,405.65/11,596.32 = 5,001.98/x
  3. Step 3: Cross multiply
    8,405.65x = 11,596.32 × 5,001.98
  4. Step 4: Simplify right side
    8,405.65x = 58,004,589.70
  5. Step 5: Solve for x
    x = 58,004,589.70/8,405.65
  6. Step 6: Final answer
    x = 6,900.67

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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.