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Finding the Fourth Proportional to 10,051.38, 13,868.10 and 7,920.30

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Solution

The fourth proportional to 10,051.38, 13,868.10 and 7,920.30 is: 10,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.38 : 13,868.10 = 7,920.30 : x
  2. Step 2: Convert to fraction form
    10,051.38/13,868.10 = 7,920.30/x
  3. Step 3: Cross multiply
    10,051.38x = 13,868.10 × 7,920.30
  4. Step 4: Simplify right side
    10,051.38x = 109,839,512.43
  5. Step 5: Solve for x
    x = 109,839,512.43/10,051.38
  6. Step 6: Final answer
    x = 10,927.80

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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.