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Finding the Fourth Proportional to 10,493.27, 14,480.95 and 5,956.26

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Solution

The fourth proportional to 10,493.27, 14,480.95 and 5,956.26 is: 8,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.27 : 14,480.95 = 5,956.26 : x
  2. Step 2: Convert to fraction form
    10,493.27/14,480.95 = 5,956.26/x
  3. Step 3: Cross multiply
    10,493.27x = 14,480.95 × 5,956.26
  4. Step 4: Simplify right side
    10,493.27x = 86,252,302.70
  5. Step 5: Solve for x
    x = 86,252,302.70/10,493.27
  6. Step 6: Final answer
    x = 8,219.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.