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Finding the Fourth Proportional to 10,837.92, 14,956.04 and 6,057.92

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Solution

The fourth proportional to 10,837.92, 14,956.04 and 6,057.92 is: 8,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.92 : 14,956.04 = 6,057.92 : x
  2. Step 2: Convert to fraction form
    10,837.92/14,956.04 = 6,057.92/x
  3. Step 3: Cross multiply
    10,837.92x = 14,956.04 × 6,057.92
  4. Step 4: Simplify right side
    10,837.92x = 90,602,493.84
  5. Step 5: Solve for x
    x = 90,602,493.84/10,837.92
  6. Step 6: Final answer
    x = 8,359.77

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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.