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Finding the Fourth Proportional to 10,213.94, 14,095.60 and 5,737.59

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Solution

The fourth proportional to 10,213.94, 14,095.60 and 5,737.59 is: 7,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.94 : 14,095.60 = 5,737.59 : x
  2. Step 2: Convert to fraction form
    10,213.94/14,095.60 = 5,737.59/x
  3. Step 3: Cross multiply
    10,213.94x = 14,095.60 × 5,737.59
  4. Step 4: Simplify right side
    10,213.94x = 80,874,744.92
  5. Step 5: Solve for x
    x = 80,874,744.92/10,213.94
  6. Step 6: Final answer
    x = 7,918.08

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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.