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Finding the Fourth Proportional to 10,667.69, 14,722.12 and 5,952.07

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Solution

The fourth proportional to 10,667.69, 14,722.12 and 5,952.07 is: 8,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.69 : 14,722.12 = 5,952.07 : x
  2. Step 2: Convert to fraction form
    10,667.69/14,722.12 = 5,952.07/x
  3. Step 3: Cross multiply
    10,667.69x = 14,722.12 × 5,952.07
  4. Step 4: Simplify right side
    10,667.69x = 87,627,088.79
  5. Step 5: Solve for x
    x = 87,627,088.79/10,667.69
  6. Step 6: Final answer
    x = 8,214.25

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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.