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Finding the Fourth Proportional to 8,590.54, 12,890.76 and 4,641.80

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Solution

The fourth proportional to 8,590.54, 12,890.76 and 4,641.80 is: 6,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.54 : 12,890.76 = 4,641.80 : x
  2. Step 2: Convert to fraction form
    8,590.54/12,890.76 = 4,641.80/x
  3. Step 3: Cross multiply
    8,590.54x = 12,890.76 × 4,641.80
  4. Step 4: Simplify right side
    8,590.54x = 59,836,361.99
  5. Step 5: Solve for x
    x = 59,836,361.99/8,590.54
  6. Step 6: Final answer
    x = 6,965.38

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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.