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Finding the Fourth Proportional to 10,214.21, 14,095.79 and 5,737.96

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Solution

The fourth proportional to 10,214.21, 14,095.79 and 5,737.96 is: 7,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.21 : 14,095.79 = 5,737.96 : x
  2. Step 2: Convert to fraction form
    10,214.21/14,095.79 = 5,737.96/x
  3. Step 3: Cross multiply
    10,214.21x = 14,095.79 × 5,737.96
  4. Step 4: Simplify right side
    10,214.21x = 80,881,053.96
  5. Step 5: Solve for x
    x = 80,881,053.96/10,214.21
  6. Step 6: Final answer
    x = 7,918.48

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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.