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Finding the Fourth Proportional to 10,855.65, 16,266.65 and 7,530.35

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Solution

The fourth proportional to 10,855.65, 16,266.65 and 7,530.35 is: 11,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.65 : 16,266.65 = 7,530.35 : x
  2. Step 2: Convert to fraction form
    10,855.65/16,266.65 = 7,530.35/x
  3. Step 3: Cross multiply
    10,855.65x = 16,266.65 × 7,530.35
  4. Step 4: Simplify right side
    10,855.65x = 122,493,630.15
  5. Step 5: Solve for x
    x = 122,493,630.15/10,855.65
  6. Step 6: Final answer
    x = 11,283.86

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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.