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Finding the Fourth Proportional to 10,900.64, 16,355.10 and 5,702.96

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Solution

The fourth proportional to 10,900.64, 16,355.10 and 5,702.96 is: 8,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.64 : 16,355.10 = 5,702.96 : x
  2. Step 2: Convert to fraction form
    10,900.64/16,355.10 = 5,702.96/x
  3. Step 3: Cross multiply
    10,900.64x = 16,355.10 × 5,702.96
  4. Step 4: Simplify right side
    10,900.64x = 93,272,481.10
  5. Step 5: Solve for x
    x = 93,272,481.10/10,900.64
  6. Step 6: Final answer
    x = 8,556.61

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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.