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Finding the Fourth Proportional to 10,635.62, 14,677.14 and 5,855.80

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Solution

The fourth proportional to 10,635.62, 14,677.14 and 5,855.80 is: 8,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.62 : 14,677.14 = 5,855.80 : x
  2. Step 2: Convert to fraction form
    10,635.62/14,677.14 = 5,855.80/x
  3. Step 3: Cross multiply
    10,635.62x = 14,677.14 × 5,855.80
  4. Step 4: Simplify right side
    10,635.62x = 85,946,396.41
  5. Step 5: Solve for x
    x = 85,946,396.41/10,635.62
  6. Step 6: Final answer
    x = 8,081.00

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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.