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Finding the Fourth Proportional to 10,529.94, 14,531.22 and 5,814.27

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Solution

The fourth proportional to 10,529.94, 14,531.22 and 5,814.27 is: 8,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.94 : 14,531.22 = 5,814.27 : x
  2. Step 2: Convert to fraction form
    10,529.94/14,531.22 = 5,814.27/x
  3. Step 3: Cross multiply
    10,529.94x = 14,531.22 × 5,814.27
  4. Step 4: Simplify right side
    10,529.94x = 84,488,436.51
  5. Step 5: Solve for x
    x = 84,488,436.51/10,529.94
  6. Step 6: Final answer
    x = 8,023.64

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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.