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Finding the Fourth Proportional to 6,861.84, 10,292.78 and 1,667.71

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Solution

The fourth proportional to 6,861.84, 10,292.78 and 1,667.71 is: 2,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.84 : 10,292.78 = 1,667.71 : x
  2. Step 2: Convert to fraction form
    6,861.84/10,292.78 = 1,667.71/x
  3. Step 3: Cross multiply
    6,861.84x = 10,292.78 × 1,667.71
  4. Step 4: Simplify right side
    6,861.84x = 17,165,372.13
  5. Step 5: Solve for x
    x = 17,165,372.13/6,861.84
  6. Step 6: Final answer
    x = 2,501.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.