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Finding the Fourth Proportional to 10,814.16, 14,923.34 and 6,098.44

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Solution

The fourth proportional to 10,814.16, 14,923.34 and 6,098.44 is: 8,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.16 : 14,923.34 = 6,098.44 : x
  2. Step 2: Convert to fraction form
    10,814.16/14,923.34 = 6,098.44/x
  3. Step 3: Cross multiply
    10,814.16x = 14,923.34 × 6,098.44
  4. Step 4: Simplify right side
    10,814.16x = 91,009,093.59
  5. Step 5: Solve for x
    x = 91,009,093.59/10,814.16
  6. Step 6: Final answer
    x = 8,415.73

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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.