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Finding the Fourth Proportional to 10,510.70, 14,504.80 and 5,794.98

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Solution

The fourth proportional to 10,510.70, 14,504.80 and 5,794.98 is: 7,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.70 : 14,504.80 = 5,794.98 : x
  2. Step 2: Convert to fraction form
    10,510.70/14,504.80 = 5,794.98/x
  3. Step 3: Cross multiply
    10,510.70x = 14,504.80 × 5,794.98
  4. Step 4: Simplify right side
    10,510.70x = 84,055,025.90
  5. Step 5: Solve for x
    x = 84,055,025.90/10,510.70
  6. Step 6: Final answer
    x = 7,997.09

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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.