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Finding the Fourth Proportional to 8,555.80, 12,830.67 and 5,258.98

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Solution

The fourth proportional to 8,555.80, 12,830.67 and 5,258.98 is: 7,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.80 : 12,830.67 = 5,258.98 : x
  2. Step 2: Convert to fraction form
    8,555.80/12,830.67 = 5,258.98/x
  3. Step 3: Cross multiply
    8,555.80x = 12,830.67 × 5,258.98
  4. Step 4: Simplify right side
    8,555.80x = 67,476,236.92
  5. Step 5: Solve for x
    x = 67,476,236.92/8,555.80
  6. Step 6: Final answer
    x = 7,886.61

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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.