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Finding the Fourth Proportional to 10,852.33, 16,281.22 and 5,013.07

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Solution

The fourth proportional to 10,852.33, 16,281.22 and 5,013.07 is: 7,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.33 : 16,281.22 = 5,013.07 : x
  2. Step 2: Convert to fraction form
    10,852.33/16,281.22 = 5,013.07/x
  3. Step 3: Cross multiply
    10,852.33x = 16,281.22 × 5,013.07
  4. Step 4: Simplify right side
    10,852.33x = 81,618,861.11
  5. Step 5: Solve for x
    x = 81,618,861.11/10,852.33
  6. Step 6: Final answer
    x = 7,520.86

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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.