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Finding the Fourth Proportional to 10,474.14, 15,710.79 and 3,548.64

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Solution

The fourth proportional to 10,474.14, 15,710.79 and 3,548.64 is: 5,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.14 : 15,710.79 = 3,548.64 : x
  2. Step 2: Convert to fraction form
    10,474.14/15,710.79 = 3,548.64/x
  3. Step 3: Cross multiply
    10,474.14x = 15,710.79 × 3,548.64
  4. Step 4: Simplify right side
    10,474.14x = 55,751,937.83
  5. Step 5: Solve for x
    x = 55,751,937.83/10,474.14
  6. Step 6: Final answer
    x = 5,322.82

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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.