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Finding the Fourth Proportional to 10,795.20, 14,894.28 and 7,438.92

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Solution

The fourth proportional to 10,795.20, 14,894.28 and 7,438.92 is: 10,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.20 : 14,894.28 = 7,438.92 : x
  2. Step 2: Convert to fraction form
    10,795.20/14,894.28 = 7,438.92/x
  3. Step 3: Cross multiply
    10,795.20x = 14,894.28 × 7,438.92
  4. Step 4: Simplify right side
    10,795.20x = 110,797,357.38
  5. Step 5: Solve for x
    x = 110,797,357.38/10,795.20
  6. Step 6: Final answer
    x = 10,263.58

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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.