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Finding the Fourth Proportional to 10,474.04, 14,454.14 and 5,997.78

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Solution

The fourth proportional to 10,474.04, 14,454.14 and 5,997.78 is: 8,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.04 : 14,454.14 = 5,997.78 : x
  2. Step 2: Convert to fraction form
    10,474.04/14,454.14 = 5,997.78/x
  3. Step 3: Cross multiply
    10,474.04x = 14,454.14 × 5,997.78
  4. Step 4: Simplify right side
    10,474.04x = 86,692,721.82
  5. Step 5: Solve for x
    x = 86,692,721.82/10,474.04
  6. Step 6: Final answer
    x = 8,276.92

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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.