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Finding the Fourth Proportional to 10,158.57, 15,230.57 and 4,311.99

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Solution

The fourth proportional to 10,158.57, 15,230.57 and 4,311.99 is: 6,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.57 : 15,230.57 = 4,311.99 : x
  2. Step 2: Convert to fraction form
    10,158.57/15,230.57 = 4,311.99/x
  3. Step 3: Cross multiply
    10,158.57x = 15,230.57 × 4,311.99
  4. Step 4: Simplify right side
    10,158.57x = 65,674,043.97
  5. Step 5: Solve for x
    x = 65,674,043.97/10,158.57
  6. Step 6: Final answer
    x = 6,464.89

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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.