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Finding the Fourth Proportional to 8,594.85, 12,895.83 and 4,641.46

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Solution

The fourth proportional to 8,594.85, 12,895.83 and 4,641.46 is: 6,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.85 : 12,895.83 = 4,641.46 : x
  2. Step 2: Convert to fraction form
    8,594.85/12,895.83 = 4,641.46/x
  3. Step 3: Cross multiply
    8,594.85x = 12,895.83 × 4,641.46
  4. Step 4: Simplify right side
    8,594.85x = 59,855,550.60
  5. Step 5: Solve for x
    x = 59,855,550.60/8,594.85
  6. Step 6: Final answer
    x = 6,964.12

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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.