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Finding the Fourth Proportional to 10,765.64, 16,153.16 and 4,189.55

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Solution

The fourth proportional to 10,765.64, 16,153.16 and 4,189.55 is: 6,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.64 : 16,153.16 = 4,189.55 : x
  2. Step 2: Convert to fraction form
    10,765.64/16,153.16 = 4,189.55/x
  3. Step 3: Cross multiply
    10,765.64x = 16,153.16 × 4,189.55
  4. Step 4: Simplify right side
    10,765.64x = 67,674,369.76
  5. Step 5: Solve for x
    x = 67,674,369.76/10,765.64
  6. Step 6: Final answer
    x = 6,286.14

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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.