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Finding the Fourth Proportional to 6,586.12, 9,886.90 and 5,200.38

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Solution

The fourth proportional to 6,586.12, 9,886.90 and 5,200.38 is: 7,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.12 : 9,886.90 = 5,200.38 : x
  2. Step 2: Convert to fraction form
    6,586.12/9,886.90 = 5,200.38/x
  3. Step 3: Cross multiply
    6,586.12x = 9,886.90 × 5,200.38
  4. Step 4: Simplify right side
    6,586.12x = 51,415,637.02
  5. Step 5: Solve for x
    x = 51,415,637.02/6,586.12
  6. Step 6: Final answer
    x = 7,806.67

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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.