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Finding the Fourth Proportional to 10,431.68, 14,396.93 and 5,956.08

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Solution

The fourth proportional to 10,431.68, 14,396.93 and 5,956.08 is: 8,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.68 : 14,396.93 = 5,956.08 : x
  2. Step 2: Convert to fraction form
    10,431.68/14,396.93 = 5,956.08/x
  3. Step 3: Cross multiply
    10,431.68x = 14,396.93 × 5,956.08
  4. Step 4: Simplify right side
    10,431.68x = 85,749,266.83
  5. Step 5: Solve for x
    x = 85,749,266.83/10,431.68
  6. Step 6: Final answer
    x = 8,220.08

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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.