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Finding the Fourth Proportional to 11,423.87, 15,765.03 and 6,319.29

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Solution

The fourth proportional to 11,423.87, 15,765.03 and 6,319.29 is: 8,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.87 : 15,765.03 = 6,319.29 : x
  2. Step 2: Convert to fraction form
    11,423.87/15,765.03 = 6,319.29/x
  3. Step 3: Cross multiply
    11,423.87x = 15,765.03 × 6,319.29
  4. Step 4: Simplify right side
    11,423.87x = 99,623,855.55
  5. Step 5: Solve for x
    x = 99,623,855.55/11,423.87
  6. Step 6: Final answer
    x = 8,720.68

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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.