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Finding the Fourth Proportional to 11,423.66, 15,765.02 and 6,319.25

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Solution

The fourth proportional to 11,423.66, 15,765.02 and 6,319.25 is: 8,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.66 : 15,765.02 = 6,319.25 : x
  2. Step 2: Convert to fraction form
    11,423.66/15,765.02 = 6,319.25/x
  3. Step 3: Cross multiply
    11,423.66x = 15,765.02 × 6,319.25
  4. Step 4: Simplify right side
    11,423.66x = 99,622,992.21
  5. Step 5: Solve for x
    x = 99,622,992.21/11,423.66
  6. Step 6: Final answer
    x = 8,720.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.