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Finding the Fourth Proportional to 10,823.60, 16,235.40 and 7,907.60

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Solution

The fourth proportional to 10,823.60, 16,235.40 and 7,907.60 is: 11,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.60 : 16,235.40 = 7,907.60 : x
  2. Step 2: Convert to fraction form
    10,823.60/16,235.40 = 7,907.60/x
  3. Step 3: Cross multiply
    10,823.60x = 16,235.40 × 7,907.60
  4. Step 4: Simplify right side
    10,823.60x = 128,383,049.04
  5. Step 5: Solve for x
    x = 128,383,049.04/10,823.60
  6. Step 6: Final answer
    x = 11,861.40

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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.