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Finding the Fourth Proportional to 10,818.24, 14,932.08 and 6,105.28

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Solution

The fourth proportional to 10,818.24, 14,932.08 and 6,105.28 is: 8,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.24 : 14,932.08 = 6,105.28 : x
  2. Step 2: Convert to fraction form
    10,818.24/14,932.08 = 6,105.28/x
  3. Step 3: Cross multiply
    10,818.24x = 14,932.08 × 6,105.28
  4. Step 4: Simplify right side
    10,818.24x = 91,164,529.38
  5. Step 5: Solve for x
    x = 91,164,529.38/10,818.24
  6. Step 6: Final answer
    x = 8,426.93

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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.