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Finding the Fourth Proportional to 10,799.38, 14,900.91 and 6,818.28

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Solution

The fourth proportional to 10,799.38, 14,900.91 and 6,818.28 is: 9,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.38 : 14,900.91 = 6,818.28 : x
  2. Step 2: Convert to fraction form
    10,799.38/14,900.91 = 6,818.28/x
  3. Step 3: Cross multiply
    10,799.38x = 14,900.91 × 6,818.28
  4. Step 4: Simplify right side
    10,799.38x = 101,598,533.54
  5. Step 5: Solve for x
    x = 101,598,533.54/10,799.38
  6. Step 6: Final answer
    x = 9,407.82

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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.