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Finding the Fourth Proportional to 10,214, 14,095.36 and 5,737.60

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Solution

The fourth proportional to 10,214, 14,095.36 and 5,737.60 is: 7,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 14,095.36 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    10,214/14,095.36 = 5,737.60/x
  3. Step 3: Cross multiply
    10,214x = 14,095.36 × 5,737.60
  4. Step 4: Simplify right side
    10,214x = 80,873,537.54
  5. Step 5: Solve for x
    x = 80,873,537.54/10,214
  6. Step 6: Final answer
    x = 7,917.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.