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Finding the Fourth Proportional to 10,667.52, 14,713.26 and 7,834

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Solution

The fourth proportional to 10,667.52, 14,713.26 and 7,834 is: 10,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.52 : 14,713.26 = 7,834 : x
  2. Step 2: Convert to fraction form
    10,667.52/14,713.26 = 7,834/x
  3. Step 3: Cross multiply
    10,667.52x = 14,713.26 × 7,834
  4. Step 4: Simplify right side
    10,667.52x = 115,263,678.84
  5. Step 5: Solve for x
    x = 115,263,678.84/10,667.52
  6. Step 6: Final answer
    x = 10,805.11

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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.