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Finding the Fourth Proportional to 8,586.40, 12,879.60 and 7,711.60

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Solution

The fourth proportional to 8,586.40, 12,879.60 and 7,711.60 is: 11,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.40 : 12,879.60 = 7,711.60 : x
  2. Step 2: Convert to fraction form
    8,586.40/12,879.60 = 7,711.60/x
  3. Step 3: Cross multiply
    8,586.40x = 12,879.60 × 7,711.60
  4. Step 4: Simplify right side
    8,586.40x = 99,322,323.36
  5. Step 5: Solve for x
    x = 99,322,323.36/8,586.40
  6. Step 6: Final answer
    x = 11,567.40

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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.