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Finding the Fourth Proportional to 10,473.81, 14,454.14 and 5,694.08

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Solution

The fourth proportional to 10,473.81, 14,454.14 and 5,694.08 is: 7,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.81 : 14,454.14 = 5,694.08 : x
  2. Step 2: Convert to fraction form
    10,473.81/14,454.14 = 5,694.08/x
  3. Step 3: Cross multiply
    10,473.81x = 14,454.14 × 5,694.08
  4. Step 4: Simplify right side
    10,473.81x = 82,303,029.49
  5. Step 5: Solve for x
    x = 82,303,029.49/10,473.81
  6. Step 6: Final answer
    x = 7,857.98

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Why These Related Problems?

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