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Finding the Fourth Proportional to 10,804.96, 16,214.27 and 4,230.97

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Solution

The fourth proportional to 10,804.96, 16,214.27 and 4,230.97 is: 6,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.96 : 16,214.27 = 4,230.97 : x
  2. Step 2: Convert to fraction form
    10,804.96/16,214.27 = 4,230.97/x
  3. Step 3: Cross multiply
    10,804.96x = 16,214.27 × 4,230.97
  4. Step 4: Simplify right side
    10,804.96x = 68,602,089.94
  5. Step 5: Solve for x
    x = 68,602,089.94/10,804.96
  6. Step 6: Final answer
    x = 6,349.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.