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Finding the Fourth Proportional to 8,525.40, 12,797.70 and 6,586.20

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Solution

The fourth proportional to 8,525.40, 12,797.70 and 6,586.20 is: 9,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.40 : 12,797.70 = 6,586.20 : x
  2. Step 2: Convert to fraction form
    8,525.40/12,797.70 = 6,586.20/x
  3. Step 3: Cross multiply
    8,525.40x = 12,797.70 × 6,586.20
  4. Step 4: Simplify right side
    8,525.40x = 84,288,211.74
  5. Step 5: Solve for x
    x = 84,288,211.74/8,525.40
  6. Step 6: Final answer
    x = 9,886.72

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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.