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Finding the Fourth Proportional to 10,855.50, 16,283.94 and 3,064.92

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Solution

The fourth proportional to 10,855.50, 16,283.94 and 3,064.92 is: 4,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.50 : 16,283.94 = 3,064.92 : x
  2. Step 2: Convert to fraction form
    10,855.50/16,283.94 = 3,064.92/x
  3. Step 3: Cross multiply
    10,855.50x = 16,283.94 × 3,064.92
  4. Step 4: Simplify right side
    10,855.50x = 49,908,973.38
  5. Step 5: Solve for x
    x = 49,908,973.38/10,855.50
  6. Step 6: Final answer
    x = 4,597.57

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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.