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Finding the Fourth Proportional to 10,431.75, 14,397.02 and 5,956.14

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Solution

The fourth proportional to 10,431.75, 14,397.02 and 5,956.14 is: 8,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.75 : 14,397.02 = 5,956.14 : x
  2. Step 2: Convert to fraction form
    10,431.75/14,397.02 = 5,956.14/x
  3. Step 3: Cross multiply
    10,431.75x = 14,397.02 × 5,956.14
  4. Step 4: Simplify right side
    10,431.75x = 85,750,666.70
  5. Step 5: Solve for x
    x = 85,750,666.70/10,431.75
  6. Step 6: Final answer
    x = 8,220.16

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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.