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Finding the Fourth Proportional to 10,464.12, 14,439.99 and 5,748.12

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Solution

The fourth proportional to 10,464.12, 14,439.99 and 5,748.12 is: 7,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.12 : 14,439.99 = 5,748.12 : x
  2. Step 2: Convert to fraction form
    10,464.12/14,439.99 = 5,748.12/x
  3. Step 3: Cross multiply
    10,464.12x = 14,439.99 × 5,748.12
  4. Step 4: Simplify right side
    10,464.12x = 83,002,795.32
  5. Step 5: Solve for x
    x = 83,002,795.32/10,464.12
  6. Step 6: Final answer
    x = 7,932.13

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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.