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Finding the Fourth Proportional to 8,594.85, 12,891.35 and 5,307.06

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Solution

The fourth proportional to 8,594.85, 12,891.35 and 5,307.06 is: 7,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.85 : 12,891.35 = 5,307.06 : x
  2. Step 2: Convert to fraction form
    8,594.85/12,891.35 = 5,307.06/x
  3. Step 3: Cross multiply
    8,594.85x = 12,891.35 × 5,307.06
  4. Step 4: Simplify right side
    8,594.85x = 68,415,229.54
  5. Step 5: Solve for x
    x = 68,415,229.54/8,594.85
  6. Step 6: Final answer
    x = 7,960.02

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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.