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Finding the Fourth Proportional to 8,403.61, 11,596.49 and 4,817.80

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Solution

The fourth proportional to 8,403.61, 11,596.49 and 4,817.80 is: 6,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.61 : 11,596.49 = 4,817.80 : x
  2. Step 2: Convert to fraction form
    8,403.61/11,596.49 = 4,817.80/x
  3. Step 3: Cross multiply
    8,403.61x = 11,596.49 × 4,817.80
  4. Step 4: Simplify right side
    8,403.61x = 55,869,559.93
  5. Step 5: Solve for x
    x = 55,869,559.93/8,403.61
  6. Step 6: Final answer
    x = 6,648.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.