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Finding the Fourth Proportional to 8,596.83, 12,880.67 and 7,780.35

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Solution

The fourth proportional to 8,596.83, 12,880.67 and 7,780.35 is: 11,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.83 : 12,880.67 = 7,780.35 : x
  2. Step 2: Convert to fraction form
    8,596.83/12,880.67 = 7,780.35/x
  3. Step 3: Cross multiply
    8,596.83x = 12,880.67 × 7,780.35
  4. Step 4: Simplify right side
    8,596.83x = 100,216,081.93
  5. Step 5: Solve for x
    x = 100,216,081.93/8,596.83
  6. Step 6: Final answer
    x = 11,657.33

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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.