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Finding the Fourth Proportional to 8,586.90, 12,868.20 and 5,290.20

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Solution

The fourth proportional to 8,586.90, 12,868.20 and 5,290.20 is: 7,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.90 : 12,868.20 = 5,290.20 : x
  2. Step 2: Convert to fraction form
    8,586.90/12,868.20 = 5,290.20/x
  3. Step 3: Cross multiply
    8,586.90x = 12,868.20 × 5,290.20
  4. Step 4: Simplify right side
    8,586.90x = 68,075,351.64
  5. Step 5: Solve for x
    x = 68,075,351.64/8,586.90
  6. Step 6: Final answer
    x = 7,927.81

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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.