Home / 10,394-14,342.10-5,917.96

Finding the Fourth Proportional to 10,394, 14,342.10 and 5,917.96

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Solution

The fourth proportional to 10,394, 14,342.10 and 5,917.96 is: 8,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394 : 14,342.10 = 5,917.96 : x
  2. Step 2: Convert to fraction form
    10,394/14,342.10 = 5,917.96/x
  3. Step 3: Cross multiply
    10,394x = 14,342.10 × 5,917.96
  4. Step 4: Simplify right side
    10,394x = 84,875,974.12
  5. Step 5: Solve for x
    x = 84,875,974.12/10,394
  6. Step 6: Final answer
    x = 8,165.86

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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.